Answer:
[tex]x=4\sqrt{2}[/tex]
Step-by-step explanation:
It is a 45º- 45º- 90º right triangle, therefore, the hypotenuse is [tex]x\sqrt{2}[/tex] and the other legs are equal to [tex]x[/tex].
Once the hypotenuse is 8,
[tex]x\sqrt{2}=8\\[/tex]
[tex]$x=\frac{8}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{8\sqrt{2} }{2}=4\sqrt{2} $[/tex]
