Question

Prove that in a triangle if measurement of two angles are equal then the length of opposite to these angles are equal.​

Answer 1

Answer:

Given :

A △ABC in which ∠B=∠C.

To prove :

AB=AC

Construction :

Draw the bisector of ∠A and let it meet BC at D.

Proof  :

In △s ABD and ACD,

∠B=∠C

∠BAD=∠CAD

AD=AD

So, by AAS criterion of congruence,

△ABD≅△ACD

⟹AB=AC

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