Answer:
8√2
Step-by-step explanation:
The hypotenuse of a right triangle is √2 times the leg length, so you have ...
[tex]x\sqrt{2}=16[/tex]
Dividing by the coefficient of x gives ...
[tex]x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}[/tex]
Each leg has length 8√2.
