Question

Apply the 30-60-90 triangle theorem to find the length of the longer leg of a triangle of the length of the shorter leg is 4 inches.

3square root 4
7 inches
4 square root 2
8 square root 3

Answer 1

4sqrt(3) inches

Explanation:

The ratio of the lengths of the legs of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The long leg is sqrt(3) times the length of the short leg.

Here, the short leg measures 4 inches.

long leg = sqrt(3) * short leg

long leg = 4sqrt(3) inches