Question

Find x.

A. 12 root 6
B. 6 root 2
C. 4 root 6
D. 36

Answer 1

C. 4√6

Explanation:

45-45-90 triangle side length ratio:

1 : 1 : √2

30-60-90 triangle side length ratio:

1 : √3 : 2

Start with the 45-45-90 triangle. its hypotenuse measures

12 × √2 = 12√2

The hypotenuse of the 45-45-90 tringle is the long leg of the 30-60-90 triangle.

x = 12√2 / √3

x = 12√2√3 / √3√3

x = 12√6 / 3

x = 4√6