Find the value of x. Write your answer in simplest form.

Answer:
x = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (9[tex]\sqrt{2}[/tex] )²
2x² = 162 ( divide both sides by 2 )
x² = 81 ( take the square root of both sides )
x = [tex]\sqrt{81}[/tex] = 9