In a ∆ABC, if , show that the triangle is isosceles.

Question

Philoid · Accepted Answer

Given:

Need to prove: ∆ABC is isosceles.

⇒

⇒ [Squaring both sides]

⇒

We know,

Therefore,

So,

⇒

That means a and b sides are of same length. Therefore, the triangle is isosceles. [Proved]