Question

Solve for x and y.

A. 24 √ 3, y=8
B. 8,y=24√ 3
C. x=24, y= 8√ 3
D. 8√ 3, y=24

Answer 1

C. x=24, y = 8√3

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.