{"id":5028,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-7-2\/"},"modified":"2018-06-18T12:48:26","modified_gmt":"2018-06-18T07:18:26","slug":"ncert-solutions-for-class-9-maths-exercise-7-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 7.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#NCERT_Solutions_for_Class_9_Mathematics_Triangles\" >NCERT Solutions for Class 9 Mathematics\u00a0Triangles<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#1_In_an_isosceles_triangle_ABC_with_AB_AC_the_bisectors_of_B_and_C_intersect_each_other_at_O_Join_A_to_O_Show_that\" >1. In an isosceles triangle ABC, with AB = AC, the bisectors of B and C intersect each other at O. Join A to O. Show that:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#2_In_ABC_AD_is_the_perpendicular_bisector_of_BC_See_figure_Show_that_ABC_is_an_isosceles_triangle_in_which_AB_AC\" >2. In ABC, AD is the perpendicular bisector of BC (See figure). Show that ABC is an isosceles triangle in which AB = AC.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#3_ABC_is_an_isosceles_triangle_in_which_altitudes_BE_and_CF_are_drawn_to_sides_AC_and_AB_respectively_See_figure_Show_that_these_altitudes_are_equal\" >3. ABC is an isosceles triangle in which altitudes BE and CF are drawn to sides AC and AB respectively (See figure). Show that these altitudes are equal.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#4_ABC_is_a_triangle_in_which_altitudes_BE_and_CF_to_sides_AC_and_AB_are_equal_See_figure_Show_that\" >4. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (See figure). Show that:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#5_ABC_and_DBC_are_two_isosceles_triangles_on_the_same_base_BC_See_figure_Show_that_ABD_ACD\" >5. ABC and DBC are two isosceles triangles on the same base BC (See figure). Show that ABD = ACD.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#6_ABC_is_an_isosceles_triangle_in_which_AB_AC_Side_BA_is_produced_to_D_such_that_AD_AB_Show_that_BCD_is_a_right_angle_See_figure\" >6. ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that BCD is a right angle (See figure).<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#And_Exterior_angle_of_a_triangle_is_equal_to_the_sum_of_its_interior_opposite_angles\" >And Exterior angle of a triangle is equal to the sum of its interior opposite angles.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#7_ABC_is_a_right_angled_triangle_in_which_A_and_AB_AC_Find_B_and_C\" >7. ABC is a right angled triangle in which A =  and AB = AC. Find B and C.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#8_Show_that_the_angles_of_an_equilateral_triangle_are_each\" >8. Show that the angles of an equilateral triangle are  each.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#NCERT_Solutions_for_Class_9_Maths_Exercise_72\" >NCERT Solutions for Class 9 Maths Exercise 7.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 7.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 9 Maths\u00a0<\/strong><strong>Triangles\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-triangles\/1241\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/09_Class_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 9 Maths Exercise 7.2\" width=\"157\" height=\"202\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Mathematics_Triangles\"><\/span>NCERT Solutions for Class 9 Mathematics\u00a0Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_In_an_isosceles_triangle_ABC_with_AB_AC_the_bisectors_of_B_and_C_intersect_each_other_at_O_Join_A_to_O_Show_that\"><\/span><strong>1. In an isosceles triangle ABC, with AB = AC, the bisectors of <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B and <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C intersect each other at O. Join A to O. Show that:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) OB = OC<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) AO bisects <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i) <\/strong>ABC is an isosceles triangle in which AB = AC.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 31\" style=\"height: 165px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image002.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B [Angles opposite to equal sides]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCA + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBA + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image005.png\" \/> OB bisects <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B and OC bisects <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBA = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC and <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCA = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> 2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB = 2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC<\/p>\n<p style=\"text-align: justify;\">Now in <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>OBC,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBC [Prove above]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> OB = OC [Sides opposite to equal sides]\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>AOB and <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>AOC,<\/p>\n<p style=\"text-align: justify;\">AB = AC [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBA = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCA [Given]\n<p style=\"text-align: justify;\">And <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image007.png\" \/>B = <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image007.png\" \/>C<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OBA = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OCA<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> OB = OC [Prove above]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>AOB <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>AOC [By SAS congruency]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OAB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>OAC [By C.P.C.T.]\n<p style=\"text-align: justify;\">Hence AO bisects <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_In_ABC_AD_is_the_perpendicular_bisector_of_BC_See_figure_Show_that_ABC_is_an_isosceles_triangle_in_which_AB_AC\"><\/span><strong>2. In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC, AD is the perpendicular bisector of BC (See figure). Show that <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC is an isosceles triangle in which AB = AC.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 34\" style=\"height: 161px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image009.jpg\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>AOB and <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>AOC,<\/p>\n<p style=\"text-align: justify;\">BD = CD [AD bisects BC]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ADB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ADC = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> [AD <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image011.png\" \/> BC]\n<p style=\"text-align: justify;\">AD = AD [Common]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABD <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>ACD [By SAS congruency]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> AB = AC [By C.P.C.T.]\n<p style=\"text-align: justify;\">Therefore, ABC is an isosceles triangle.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_ABC_is_an_isosceles_triangle_in_which_altitudes_BE_and_CF_are_drawn_to_sides_AC_and_AB_respectively_See_figure_Show_that_these_altitudes_are_equal\"><\/span><strong>3. ABC is an isosceles triangle in which altitudes BE and CF are drawn to sides AC and AB respectively (See figure). Show that these altitudes are equal.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 37\" style=\"height: 153px; width: 157px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image012.jpg\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE and <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ACF,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A= <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A [Common]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>AEB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>AFC = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> [Given]\n<p style=\"text-align: justify;\">AB = AC [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>ACF [By ASA congruency]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> BE = CF [By C.P.C.T.]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> Altitudes are equal.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_ABC_is_a_triangle_in_which_altitudes_BE_and_CF_to_sides_AC_and_AB_are_equal_See_figure_Show_that\"><\/span><strong>4. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (See figure). Show that:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>ACF<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) AB = AC or <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC is an isosceles triangle.<\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 139px; width: 142px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image013.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i) <\/strong>In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE and <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ACF,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A= <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A [Common]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>AEB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>AFC = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> [Given]\n<p style=\"text-align: justify;\">BE = CF [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>ACF [By ASA congruency]\n<p style=\"text-align: justify;\"><strong>(ii) <\/strong>Since <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABE <img decoding=\"async\" style=\"height: 16px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image008.png\" \/>ACF<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> BE = CF [By C.P.C.T.]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> ABC is an isosceles triangle.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_ABC_and_DBC_are_two_isosceles_triangles_on_the_same_base_BC_See_figure_Show_that_ABD_ACD\"><\/span><strong>5. ABC and DBC are two isosceles triangles on the same base BC (See figure). Show that <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 43\" style=\"height: 164px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image014.jpg\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>In isosceles triangle ABC,<\/p>\n<p style=\"text-align: justify;\">AB = AC [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABC \u2026\u2026.(i) [Angles opposite to equal sides]\n<p style=\"text-align: justify;\">Also in Isosceles triangle BCD.<\/p>\n<p style=\"text-align: justify;\">BD = DC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BCD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>CBD \u2026\u2026\u2026.(ii) [Angles opposite to equal sides]\n<p style=\"text-align: justify;\">Adding eq. (i) and (ii),<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BCD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABC + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>CBD<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABD<\/p>\n<p style=\"text-align: justify;\">Or <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_ABC_is_an_isosceles_triangle_in_which_AB_AC_Side_BA_is_produced_to_D_such_that_AD_AB_Show_that_BCD_is_a_right_angle_See_figure\"><\/span><strong>6. <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BCD is a right angle (See figure).<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 46\" style=\"height: 121px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image015.jpg\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>In isosceles triangle ABC,<\/p>\n<p style=\"text-align: justify;\">AB = AC [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABC \u2026\u2026.(i) [Angles opposite to equal sides]\n<p style=\"text-align: justify;\">Now AD = AB [By construction]\n<p style=\"text-align: justify;\">But AB = AC [Given]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> AD = AB = AC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> AD = AC<\/p>\n<p style=\"text-align: justify;\">Now in triangle ADC,<\/p>\n<p style=\"text-align: justify;\">AD = AC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ADC = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD \u2026\u2026\u2026(ii) [Angles opposite to equal sides]\n<p style=\"text-align: justify;\">Since <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BAC + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>CAD = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/> \u2026\u2026\u2026(iii) [Linear pair]\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"And_Exterior_angle_of_a_triangle_is_equal_to_the_sum_of_its_interior_opposite_angles\"><\/span>And Exterior angle of a triangle is equal to the sum of its interior opposite angles.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>CAD = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ABC + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB [Using (i)]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>CAD = 2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB \u2026\u2026\u2026.(iv)<\/p>\n<p style=\"text-align: justify;\">Similarly, for <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ADC,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BAC = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ADC<\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD = 2 <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD \u2026\u2026\u2026.(v)<\/p>\n<p style=\"text-align: justify;\">From eq. (iii), (iv) and (v),<\/p>\n<p style=\"text-align: justify;\">2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB + 2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> 2(<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD) = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACB + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>ACD = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BCD = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\">Hence <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>BCD is a right angle.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"7_ABC_is_a_right_angled_triangle_in_which_A_and_AB_AC_Find_B_and_C\"><\/span><strong>7. ABC is a right angled triangle in which <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> and AB = AC. Find <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B and <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>ABC is a right triangle in which,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 132px; width: 126px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image017.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> And AB = AC<\/p>\n<p style=\"text-align: justify;\">In <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC,<\/p>\n<p style=\"text-align: justify;\">AB = AC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B \u2026\u2026\u2026.(i)<\/p>\n<p style=\"text-align: justify;\">We know that, in <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC,<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/> [Angle sum property]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image018.png\" \/>B + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\">[<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/> (given) and <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C (from eq. (i)]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> 2<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 21px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image019.png\" \/><\/p>\n<p style=\"text-align: justify;\">Also <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image019.png\" \/> [<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C]\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 7.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"8_Show_that_the_angles_of_an_equilateral_triangle_are_each\"><\/span><strong>8. Show that the angles of an equilateral triangle are <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image020.png\" \/> each.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let ABC be an equilateral triangle.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 154px; width: 154px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> AB = BC = AC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> AB = BC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A \u2026\u2026\u2026.(i)<\/p>\n<p style=\"text-align: justify;\">Similarly, AB = AC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B \u2026\u2026\u2026.(ii)<\/p>\n<p style=\"text-align: justify;\">From eq. (i) and (ii),<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C \u2026\u2026\u2026.(iii)<\/p>\n<p style=\"text-align: justify;\">Now in <img decoding=\"async\" style=\"height: 16px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image006.png\" \/>ABC<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/> \u2026\u2026\u2026.(iv)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A + <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> 3<img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 19px; width: 34px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image004.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\">Since <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C [From eq. (iii)]\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image003.png\" \/> <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>A = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>B = <img decoding=\"async\" style=\"height: 16px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image001.png\" \/>C = <img decoding=\"async\" style=\"height: 21px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\">Hence each angle of equilateral triangle is <img decoding=\"async\" style=\"height: 21px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch07\/Ex7.2\/image022.png\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_72\"><\/span>NCERT Solutions for Class 9 Maths Exercise 7.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_9\"><\/span>CBSE app for Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 9 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Exercise 7.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter &#8230; <a title=\"NCERT Solutions for Class 9 Maths Exercise 7.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-7-2\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 7.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1376,281],"tags":[283,1344,321,1485,216],"class_list":["post-5028","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-09","category-ncert-solutions","tag-cbse-study-material","tag-class-9","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Exercise 7.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 7.2 in PDF format for free download. 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