Answer :

Answer:

  (b)  8

Step-by-step explanation:

You want the length of one leg of an isosceles right triangle with hypotenuse 8√2.

Isosceles right triangle

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