Question

The hypotenuse of a 30°-60°-90° triangle measures 8√3 inches. What is the length of the shorter leg?

Answer 1

Answer: 8 inches

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the short side to the long side is 1/sqrt(3).

Therefore the short side is the long side divided by sqrt(3).

So the short side = 8 sqrt(3)/sqrt(3) = 8 inches