In an equilateral triangle ABC, if AD ⏊ BC, then which of the following is true?

Question

In an equilateral triangle ABC if AD ⊥ BC, then

A. 2AB2 = 3AD2

B. 4AB2 = 3AD2

C. 3AB2 = 4AD2

D. 3AB2 = 2AD2

Answer 1

The correct option is (C) 3AB2 = 4AD2.

∆ABC is an equilateral triangle and AD⊥BC.

In ∆ABD, applying Pythagoras theorem, we get