Question

Maths(Triangles) - CLASS X

In an equilateral triangle ABC, D is a point on side BC such that BD = BC/3. Prove that 9AD^2 = 7 AB^2.

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Answer 1

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Thanks for the question!!

Your question's answer is in the attachment.
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I hope my answer helps!

Hence, it proves from the attachment that,


$9 {AD}^{2} = 7AB {}^{2}$

Answer 2

Pls refer to the attachment for detailed solution.

Things to remember while solving this type of questions :-

1) If we can't see a right angle in the figure, we should always make a perpendicular line ( 90° ) to one of the sides of a triangle. By this way , we can use Pythagoras Theorem to solve the further problem.

2) We should learn to connect one things with another  .

3) We should know how to eliminate the terms which we do not need in our answer by substituting them with other values.