Question

The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? Round to the nearest tenth.

What is the length of the hypotenuse? Round to the nearest tenth.

Answer 1

Short leg = 10.4

Hypotenuse = 20.8

Explanation:

For a 30-60-90 right triangle, rhw ahorter leg will be opposite the 30° angle.

If we let this shorter leg be x, the longer leg will be √3 · x

The hypotenuse will be 2x

We are given longer leg = √3 · x = 18

x = 18/√3 = 10.39230...
= 10.4 rounded to the nearest tenth

Given x = 10.4, the hypotenuse = 2x = 2 x 10.4 = 20.8