Answer:
(b) 8
Step-by-step explanation:
You want the length of one leg of an isosceles right triangle with hypotenuse 8√2.
The unmarked angle in the triangle is also 45°, making this an isosceles right triangle. The ratio of side lengths in such a triangle is ...
1 : 1 : √2
Multiplying by 8 gives ...
8 : 8 : 8√2
where 8√2 is the longest side, the hypotenuse. The other two sides of the triangle, including the side marked x, are both of length 8.
x = 8 . . . . . . choice B