Question

Angles A, B, C of a triangle ABC are equal to each other. Prove that ΔABC is equilateral.

Answer 1

It is given that

We have to prove that triangle ΔABC is equilateral.

Since (Given)

So, ..........(1)

And (given)

So ........(2)

From equation (1) and (2) we have

Now from above equation if we have

Given condition satisfy the criteria of equilateral triangle.

Hence the given triangle is equilateral.