Question

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

Answer 1

Answer:

$x=8\sqrt{2}$ units

Step-by-step 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:

$x=\sqrt{128}$

$x=8\sqrt{2}$