{"id":9714,"date":"2018-02-13T15:19:31","date_gmt":"2018-02-13T09:49:31","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=9714"},"modified":"2018-03-19T14:23:44","modified_gmt":"2018-03-19T08:53:44","slug":"areas-parallelograms-triangles-class-9-notes-mathematics-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/","title":{"rendered":"Areas of Parallelograms and Triangles class 9 Notes Mathematics"},"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' ><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/#CBSE_Guide_Areas_of_Parallelograms_and_Triangles_class_9_Notes\" >CBSE Guide Areas of Parallelograms and Triangles class 9 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/#9_Mathematics_notes_Chapter_9_Areas_of_Parallelograms_and_Triangles\" >9 Mathematics notes Chapter 9 Areas of Parallelograms and Triangles<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/#Download_Revision_Notes_as_PDF\" >Download Revision Notes as PDF<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/#Areas_of_Parallelograms_and_Triangles_class_9_Notes\" >Areas of Parallelograms and Triangles class 9 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/#CBSE_Class-9_Revision_Notes_and_Key_Points\" >CBSE Class-9 Revision Notes and Key Points<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>CBSE class 9 Mathematics Chapter 9 Areas of Parallelograms and Triangles notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Areas of Parallelograms and Triangles class 9 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 9 Mathematics notes on Chapter 9 Areas of Parallelograms and Triangles are also available for download in CBSE Guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Guide_Areas_of_Parallelograms_and_Triangles_class_9_Notes\"><\/span>CBSE Guide Areas of Parallelograms and Triangles class 9 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE guide notes are the comprehensive notes which covers the latest syllabus of CBSE and NCERT. It includes all the topics given in NCERT class 9 Mathematics text book. Users can download CBSE guide quick revision notes from myCBSEguide mobile app and my CBSE guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"9_Mathematics_notes_Chapter_9_Areas_of_Parallelograms_and_Triangles\"><\/span>9 Mathematics notes Chapter 9 Areas of Parallelograms and Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download CBSE class 9th revision notes for Chapter 9 Areas of Parallelograms and Triangles in PDF format for free. Download revision notes for Areas of Parallelograms and Triangles class 9 Notes and score high in exams. These are the Areas of Parallelograms and Triangles class 9 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.<\/p>\n<h1 style=\"text-align: center\"><span class=\"ez-toc-section\" id=\"Download_Revision_Notes_as_PDF\"><\/span><a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics\/1234\/cbse-revision-notes\/7\/\"><strong>Download Revision Notes as PDF<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p style=\"text-align: center\"><strong>CBSE Class 09 Mathematics<br \/>\nRevision Notes<br \/>\nCHAPTER 9<br \/>\nAREAS OF PARALLELOGRAMS AND TRIANGLES<\/strong><\/p>\n<p><strong>1. Figures on the same Base and between the same Parallels <\/strong><\/p>\n<p><strong>2. Parallelograms on the same Base and between the same Parallels <\/strong><\/p>\n<p><strong>3. Triangles on the same Base and between the same Parallels<\/strong><\/p>\n<ul>\n<li>Area of a parallelogram = base <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi? \\times\" \/><\/span><\/span>height<\/li>\n<li>Area of a triangle = <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\frac{1}{2} \\times\" \/><\/span><\/span>\u00a0base <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi? \\times\" \/><\/span><\/span>height<\/li>\n<li>Area of a trapezium = <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\frac{1}{2} \\times\" \/><\/span><\/span>(sum of parallel sides) <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi? \\times\" \/><\/span><\/span>distance between them<\/li>\n<li>Area of rhombus = <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\frac{1}{2} \\times\" \/><\/span><\/span>\u00a0product of diagonals<\/li>\n<li>Two figures are said to be on the same base and between the same parallels, if they have a common side (base) and the vertices (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.<\/li>\n<li>Parallelogram on the same base and between the same parallels are equal in area.<\/li>\n<li>If each diagonal of a quadrilateral separates it into two triangles of equal area, then the quadrilateral is a parallelogram.<\/li>\n<li>A parallelogram and a rectangle on the same base and between the same parallels are equal in area.<\/li>\n<li>Triangles on the same base and between the same parallels are equal in area.<\/li>\n<li>Triangles having equal areas and having one side of one\u00a0of the triangles, equal to one side of the other, have their corresponding altitude equal.<\/li>\n<li>If a triangle and parallelogram are on the same base and between the same parallels, then.<\/li>\n<\/ul>\n<p>Area of triangle =<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi? \\frac{1}{2}\" \/><\/span><\/span>\u00a0x area of the parallelogram<\/p>\n<ul>\n<li>A diagonal of parallelogram divides it into two triangles of equal areas.<\/li>\n<\/ul>\n<p>In parallelogram ABCD, we have<\/p>\n<p>Area of<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta ABD = area\\,of\\,\\Delta ACD\" \/><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/09\/math\/09_math_ch09_01.jpg\" \/><\/p>\n<ul>\n<li>The diagonals of a parallelogram divide it into four triangles of equal areas therefore<\/li>\n<\/ul>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta AOB)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta COD)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta AOD)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta BOC)\" \/><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/09\/math\/09_math_ch09_02.jpg\" \/><\/p>\n<ul>\n<li>A median AD of a <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta ABC\" \/><\/span><\/span>\u00a0divides it into two triangles of equal areas. Therefore <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\text{ar(}}\\Delta {\\text{ABD) = ar(}}\\Delta ACD{\\text{)}}\" \/><\/span><\/span><\/li>\n<li>If the medians of a intersect at G, then<\/li>\n<\/ul>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta AGB)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta AGC)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?ar(\\Delta BGC)\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\frac{1}{3}ar(\\Delta ABC)\" \/><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/09\/math\/09_math_ch09_03.jpg\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Areas_of_Parallelograms_and_Triangles_class_9_Notes\"><\/span>Areas of Parallelograms and Triangles class 9 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>CBSE Revision notes (PDF Download) Free<\/li>\n<li>CBSE Revision notes for Class 9 Mathematics PDF<\/li>\n<li>CBSE Revision notes Class 9 Mathematics \u2013 CBSE<\/li>\n<li>CBSE Revisions notes and Key Points Class 9 Mathematics<\/li>\n<li>Summary of the NCERT books all chapters in Mathematics class 9<\/li>\n<li>Short notes for CBSE class 9th Mathematics<\/li>\n<li>Key notes and chapter summary of Mathematics class 9<\/li>\n<li>Quick revision notes for CBSE board exams<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Class-9_Revision_Notes_and_Key_Points\"><\/span><strong>CBSE Class-9 Revision Notes and Key Points<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Areas of Parallelograms and Triangles class 9 Notes. CBSE quick revision note for Class-9 Mathematics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics\/1234\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-science\/1218\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-social-science\/1895\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Social Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-english-communicative\/1900\/cbse-revision-notes\/7\/\">Revision Notes for class-09 English Communicative<\/a><\/li>\n<\/ul>\n<p>To download Areas of Parallelograms and Triangles class 9 Notes, sample paper for class 9 Mathematics, Social Science, Science, English Communicative; 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<ul>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/number-systems-class-9-notes-mathematics\/\">Number Systems class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/polynomials-class-9-notes-mathematics\/\">Polynomials class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/coordinate-geometry-class-9-notes-mathematics\/\">Coordinate Geometry class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/linear-equations-two-variables-class-9-notes-mathematics\/\">Linear Equations in Two Variables class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/\">Introduction to Euclids Geometry class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/lines-angles-class-9-notes-mathematics\/\">Lines and Angles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/triangles-class-9-notes-mathematics\/\">Triangles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/quadrilaterals-class-9-notes-mathematics\/\">Quadrilaterals class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/\">Areas of Parallelograms and Triangles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/circles-class-9-notes-mathematics\/\">Circles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/constructions-class-9-notes-mathematics\/\">Constructions class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/herons-formula-class-9-notes-mathematics\/\">Herons Formula class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/surface-areas-volumes-class-9-notes-mathematics\/\">Surface Areas and Volumes class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/statistics-class-9-notes-mathematics\/\">Statistics class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/probability-class-9-notes-mathematics\/\">Probability class 9 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>CBSE class 9 Mathematics Chapter 9 Areas of Parallelograms and Triangles notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Areas of Parallelograms and Triangles class 9 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. &#8230; <a title=\"Areas of Parallelograms and Triangles class 9 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/\" aria-label=\"More on Areas of Parallelograms and Triangles class 9 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":9670,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45,456],"tags":[689,457,150,426,240],"class_list":["post-9714","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-09","category-revision-notes","tag-areas-of-parallelograms-and-triangles","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Areas of Parallelograms and Triangles class 9 Notes Mathematics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Areas of Parallelograms and Triangles class 9 Notes Mathematics chapter 9 in PDF format for free download. 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