Question

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

Answer 1

Answer:

  8√2

Step-by-step explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

  $x\sqrt{2}=16$

Dividing by the coefficient of x gives ...

  $x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}$

Each leg has length 8√2.