Respuesta :

Answer:

C. x=24, y = 8√3

Step-by-step explanation:

The side ratios in a 30°-60°-90° right triangle are ...

... 1 : √3 : 2 = y : x : 16√3

The shortest side, y, is half the length of the longest, 16√3, so is 8√3.

The mid-length side, x, is √3 times the shortest side, so is 8(√3)(√3) = 24.

The solutions are x = 24, y = 8√3.