Find the length of X

Answer:
[tex] x = 8\sqrt{2} [/tex]
Step-by-step explanation:
Leg = x
Hypotenuse = 16
[tex] x\sqrt{2} = 16 [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16\sqrt{2}}{2} [/tex]
[tex] x = 8\sqrt{2} [/tex]