45°
9
X
Find the value of x. Write your answer in simplest form.

9514 1404 393
Answer:
x = (9/2)√2 = 4.5√2
Step-by-step explanation:
We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:
9 = x·√2
9√2 = 2x . . . . multiply by √2
(9/2)√2 = x . . . divide by 2