# 8.10.2. Converse of Pythagoras Theorem

In the isosceles triangle

- Ano
- Byes

### Example

In the isosceles triangle

### Solution

Step 1: Find the length of

First, find the length of

Then use Pythagoras's theorem. Substitute the known lengths in

Step 2: Find the length of

Then use Pythagoras's theorem to find the length of

Then add to find the length of

Step 3: Determine if

The converse of Pythagoras' theorem states that if the square of the length of a side is equal to the sum of the squares of the other two sides,
then the angle opposite to this side is a right angle. For

Since