Question

Apply the 30°-60°-90° Triangle Theorem to find the length of the longer leg of a triangle if the length of the shorter leg is 5√3 inches.

Answer 1

15 inches

Explanation:

The shortcut for finding the side lengths on a 30°-60°-90° triangle is that the long leg is

the short leg × √3.

So for your question:

5√3 × √3

= 5 × √3 × √3

= 5 × 3

= 15

Just in case it comes up next, the other shortcut is that the hypotenuse is double the short leg. Hypotenuse =

2 × 5√3 = 10√3