Question

ANGLE A,B,C ARE EQUAL TO EACH OTHER .PROVE THAT TRIANGLE ABC IS EQUILATERAL TRIANGLE.

Answer 1

In a triangle ABC,

A+B+C=180 degrees

Since all the angles are equal we get

A=B=C = 60 degrees

So, AB=BC=CA (because the sides opposite to the equal angles are also equal).

So, triangle ABC is equilateral