Solveeit Logo

Question

Mathematics Question on Some More Criteria for Congruence of Triangles

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

Answer

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)