Question

In the Special Right Triangle below, solve for the value of x. X = _____ (keep your answer in simplest radical form)

Options
6
6√3
6√6
12
12√2
18
12√3

Answer 1

x = 18

y = 6√3

Explanation:

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Answer 2

Explanation:

It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.

The side opposite the 60° angle is (6√3)√3 = 18

x = 18

y = 6√3