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ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C.
Let's construct a diagram according to the given question.
In triangles APB and APC,
∠APB = ∠APC (Each 90°)
AB = AC (Since ABC is an isosceles triangle)
AP = AP (Common)
ΔAPB ≅ ΔAPC (Using RHS congruence rule)
Thus, ∠B = ∠C (CPCT)
ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C
NCERT Maths Solutions Class 9 Chapter 7 Exercise 7.3 Question 5
If ABC is an isosceles triangle with AB = AC and AP ⊥ BC, then ∠B = ∠C.
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