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prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the medians if the triangle.

Posted by Raushan Kumar 7 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Anshika Mittal 7 years, 2 months ago

Do it on copy then you understand what is the method

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Anshika Mittal 7 years, 2 months ago

(In the question it is alltitude not median)Let all the sides of the equilateral triangle ABC be a .let altitudes be AD be b as AD is the alltitude on BC so let BD=a/2 and DC = a/2 . In triangle ABD.By phythagoras therome (as triangle ABD in right angle triangle ) AB2 = AD2 + BD2 ( HERE 2 IS POWER ) a2 = b2 + (a/2 )2 => a2= b2+a2/4 =>4a2=4b2+a2 =>3a2=4b2

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CBSE > Class 10 > Mathematics