If ` A B C` is an isosceles triangle with `A B=A Cdot` Prove that the perpendiculars from the vertices `B\ a n d\ C` to their opposite sides are equal.

Explanation

To prove that the perpendiculars from vertices B and C to their opposite sides are equal in the isosceles triangle ABC (where AB = AC), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Triangle**: Let triangle ABC be an isosceles triangle with AB = AC.

2. **Draw Perpendiculars**: Draw perpendiculars from points B and C to the opposite sides. Let BD be the perpendicular from B to AC and CE be the perpendicular from C to AB.

...