NCERT Solution Class IX Mathematics Triangles Question 5 (Ex 7.3)

Question 5:

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

Answer:

 

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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