Question

Find the length of each leg. Leave an answer in simplest radical form.

Answer 1

`x=8√(2)` units

Explanation:

The given triangle is an isosceles right triangle.

This implies that, the second leg is also x units.

We use the Pythagoras Theorem to obtain:

`x^2+x^2=16^2`

`2x^2=256`

Divide both sides by 2; to get

`x^2=128`

Take positive square root to get:

`x=√(128)`

`x=8√(2)`