Question

Find the length of side xx in simplest radical form with a rational denominator.
30°
60°
x
10
Answer
Attempt 1 out of 2

Answer 1

This is a 30°-60°-90° right triangle. If the side labeled 10 is the hypotenuse, then the short leg (opposite 30°) is 10/2 = 5 and the long leg (opposite 60°) is 5√3.

So x = 5√3.