`B D\ a n d\ C E` are bisectors of `/_B\ a n d\ /_C` of an isosceles ` A B C` with `A B=A C` . Prove that `B D=C E`

Explanation

To prove that \( BD = CE \) in the isosceles triangle \( ABC \) where \( AB = AC \) and \( BD \) and \( CE \) are the angle bisectors of angles \( B \) and \( C \) respectively, we can follow these steps:

### Step 1: Identify the Given Information
We know that:
- Triangle \( ABC \) is isosceles with \( AB = AC \).
- \( BD \) is the angle bisector of \( \angle B \).
- \( CE \) is the angle bisector of \( \angle C \).

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