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

Given that A, B, C of a triangle ABC are equal to each other.

We have to prove that, Δ ABC is equilateral.


We have,


A = B = C


Now,


A = B


BC = AC (Opposite sides to equal angles are equal)


B = C


AC = AB (Opposite sides to equal angles are equal)


From the above, we get


AB = BC = AC


Therefore,


Hence, proved


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