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

**Solution:**

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)

**Video Solution:**

## 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:

**Summary:**

If ABC is an isosceles triangle with AB = AC and AP ⊥ BC, then ∠B = ∠C.