Maths-

General

Easy

Question

# In the figure, ABC is an isosceles triangle with AB = AC. If D is the midpoint of BC, prove that:

(i) ΔABD⩭ ΔACD

(ii) 90°

Hint:

### Find the congruence rule and from that find the angles.

## The correct answer is: 90°

### (i) In ΔABD and ΔACD, we have

AB = AC (isosceles triangle)

AD = AD (common side)

BD = DC (Since D is the midpoint of BC)

Hence ΔABD⩭ ΔACD by SSS congruence rule.

(ii) Since ΔABD⩭ ΔACD by SSS congruence rule

We have,

(linear pair)

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