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Sides Opposite to Equal Angles of a Triangle are Equal

Theorem : If two angles of a triangle are equal, then the sides opposite to them are also equal.

Given: In ΔABC, C = B
To Prove: AB = AC
Construction: Draw the bisector of A and let it meet BC at D.

In Δ ABD and Δ ACD, B = C ... (Given) BAD = CAD ... (Construction)
AD = AD ... (Common)
Δ ACD ... (AAS Cong. Criterion)
Hence, AB = AC ... (CPCT)


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