Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

2 sqrt(3) =x

Explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side/ hypotenuse

sin 60 = x/4

Multiply each side by 4

4 sin 60 =x

We know sin 60 = sqrt(3)/2

4 sqrt(3)/2 =x

2 sqrt(3) =x