Question

If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length _____.

8

10

12

Answer 1

`Longer\ leg = 8`

Explanation:

Given

30-60-90 triangle

`Shorter = (8)/(\sqrt 3)`

Required

The longer leg

The following relationship exists in a 30-60-90 triangle.

`Longer\ leg = \sqrt 3 * Shorter\ Leg`

This gives:

`Longer\ leg = \sqrt 3 * (8)/(\sqrt 3)`

`Longer\ leg = 1* (8)/(1)`

`Longer\ leg = 1* 8`

`Longer\ leg = 8`