Question:

ABC is an isosceles triangle with AB=AC. Draw AP⊥BC to show that ∠B = ∠C.

CBSE Class IX

Updated On: Nov 18, 2023

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Solution and Explanation

Draw AP⊥BC to show that ∠B = ∠C.

In ∆APB and ∆APC,

∠APB = ∠APC (Each 90º)

AB =AC (Given)

AP = AP (Common)

∠∆APB ≅ ∠∆APC (Using RHS congruence rule)

∠B = C (By using CPCT)

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