Mathematics
ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C.
Triangles
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Answer
In △APB and △APC,
AB = AC (Given).
∠APB = ∠APC (Both are equal to 90°)
AP = AP (Common)
∴ △APB ≅ △APC by RHS axiom.
We know that corresponding angles of congruent triangles are equal.
∴ ∠B = ∠C.
Hence, proved that ∠B = ∠C.
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