Answer:
x = 10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse (x) is equal to the sum of the squares on the other 2 sides, that is
x² = (5[tex]\sqrt{2}[/tex] )² + (5[tex]\sqrt{2}[/tex] )² = 50 + 50 = 100 ← take the square root of both sides
x = [tex]\sqrt{100}[/tex] = 10
