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Prove that the sum of three altitudes is less than the perimeter of a triangle.

Posted by Kittu Nagar 3 years, 6 months ago

1 answers

Shanu Pratap 3 years, 6 months ago

Let ABC be the △ with sides BC,AC and AB opposite to the angles A,B and C being in length equal to a,b and c respectively. To prove:- AL+BM+CN<AB+BC+CA Construction:- Draw perpendiculars AL,BM and CN from A,B and C to opposite sides meeting respectively. Now, In △ACL, Using pythagoras theorem, AC2=AL2+CL2 ⇒AC2>AL2 ⇒AC>AL.....(1) Similarly, AB>BM.....(2) BC>CN.....(3) Adding equation (1),(2)&(3), we get] AB+BC+AC>AL+BM+CN Hence proved.

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Find the area of a triangle 2 sides of which are 8cm and 11cm and perimeter is 32cm . Find the area

Posted by Aryn Rajesh 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Abhijeet Anand 3 years, 6 months ago

Triangle Solve for area A≈43.82cm² a Side -- 8cm b Base --11cm Perimeter -- 32cm

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The measure of an angle which is equal to its supplement is

Posted by Shalini Shasha 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Achyutha Bs 3 years, 6 months ago

Supplement=sum of two angles=180° Let two angles be x and y x+y=180° here x=y x+x=180° 2x=180° x=180°/2 =90° Therefore angles i.e. equal to it's supplement is 90°

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What is axiom proper definition

Posted by Ashi 10Th 3 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Achyutha Bs 3 years, 6 months ago

Axiom is a universal truth accepted by all,but it doesn't have any proof.

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Bibhas Ranjan Nayak 3 years, 6 months ago

assumptions which are not related to geometry or particular to geometry

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O is any point in the interior of triangle PQR.prove that OP+OQ+OR >than 1/2 (PQ+QR+PR)

Posted by Kittu Nagar 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Kittu Nagar 3 years, 6 months ago

In triangle POQ OP+OQ>PQ In triangle POR OP+OR>PR In triangle QOR OQ+OR>QR Adding OP+OQ+OP+OR+OQ+OR>PQ+PR+QR 2OP+2OQ+2OR>PQ+PR+QR 2(OP+OQ+OR)>PQ+PR+QR OO+OQ+OR>1/2 (PQ+PR+QR) Proved...

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In the given fig. PR > than PA and S is the point on PR.such that PQ=PS. Prove that QR>SR .

Posted by Kittu Nagar 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Kittu Nagar 3 years, 6 months ago

GIVEN:PR>PQ S IS THE POINT ON PR TO PROVE:QR>SR ANGLE QSR>ANGLE SQR SINCE WE KNOW THAT SUM OF TWO SIDES OF A TRIANGLE IS ALWALYS GREATER THAN THIRD SIDE. NOW IN TRIANGLE PQR PQ+QR>PR PQ+QR>PS+SR PQ=PS (GIVEN) PS+QR>PS+SR QR>SR PROVED...

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The diameter of the moon is approximately one fourth of the diameter of the earth find the ratio of their surface areas

Posted by Mayank Raoshab 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Arnav Jain 3 years, 6 months ago

R of moon will be 0.5and that of earth will be 2 . And we know surface area is 4piersquare so square of 0.5 will be 0.25 and that of earth will ne 2 So the ratio is 1 is to 4

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4/2+2

Posted by Avi Nagla 3 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Ishika K 3 years, 6 months ago

4/2+2=4/2+4/2=8/2=4/1=4

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Achyutha Bs 3 years, 6 months ago

By BODMAS 4/2+2=2+2=4

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Is (3,8/3) a solution of 2x + 4x = 12? Verify your answer

Posted by Himanshu Parihar 3 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Shruti Goyal 3 years, 6 months ago

2×8/3 + 4×8/3 = 12 16/3 + 32/3 = 12 48/3 = 12 16 is not equal to 12

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Meena Kumari 3 years, 6 months ago

2×3+4×3=12 6+12=12 18≠12 No ,3 is not a solution of 2x+4x=12

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If the value of x=3+√8 what is the value of x sq. + 1/x sq.

Posted by Anahita Shahi 3 years, 6 months ago

CBSE > Class 09 > Mathematics

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Simplify (7+✓4(6+✓9)

Posted by Mihir Gaikwad 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Ishika K 3 years, 6 months ago

7(6+√9)+4(6+√9)=42+7√9+24+4√9=42+24+7√9+4√9=66+11√9

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2x+y=3

Posted by Mayank Adhikari 3 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Ishika K 3 years, 6 months ago

2x+y-3=0

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Vedika Nandanwar 3 years, 6 months ago

2x+y-3=0

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Ttt

Posted by Mohd Zeya Shaikh 3 years, 6 months ago

CBSE > Class 09 > Mathematics

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Exercise 2.3 all questions

Posted by Muskan Kumari 3 years, 6 months ago

CBSE > Class 09 > Mathematics

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The dimensions of a rectangular box in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rate of 4rs and 5rs per meter ² is 1300rs find the dimensions of the box

Posted by Bebo Verma 3 years, 6 months ago

CBSE > Class 09 > Mathematics

0 answers

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How to find x and y in a trangle

Posted by Anwesha Rai 3 years, 6 months ago

CBSE > Class 09 > Mathematics

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L and m are two parallel lines intersected by another pair of parallel lines p and q.show that triangle ABC~= triangle CDA

Posted by Zubia Zaman 3 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Anshika Jain 3 years, 6 months ago

Given l and m P and q are parallel to each other. Prove ∆ ABC ~=∆ CDA . Proof , in∆ abc ~= ∆cda 1 = 2 [ alternate interior angle ] 3 = 4 [ alternate interior angle ] AC = CA [ comman side ] ∆ abc ~= ∆ cda

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Mohd Zeya Shaikh 3 years, 6 months ago

Then te angle bisect to angle d

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Pk garg

Posted by Mohammed Ayan Ahmed Qureshi 3 years, 6 months ago

CBSE > Class 09 > Mathematics