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

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

We have to prove that ΔABC is equilateral

We have, A = B = C


A = ⇒ BC = AC

[Opposite sides to equal angles are equal]

and B = C ⇒ AC = AB

From the above we get

AB  = BC = AC

⇒ ΔABC is equilateral

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