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Question
In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.
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Solution
It is given that
AB = AC , and ∠B = ∠C
We have to prove that BQ = CP
We basically will prove ΔABQ ≅ ΔACP to show BQ = CP
In ΔABQ and ΔACP
∠B = ∠C (Given)
AB = AC(Given)
And ∠A is common in both the triangles
So all the properties of congruence are satisfied
So ΔABQ ≅ ΔACP
Hence BQ = CP Proved.
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