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

Answer:

$Longer\ leg = 8$

Step-by-step explanation:

Given

30-60-90 triangle

$Shorter = \frac{8}{\sqrt 3}$

Required

The longer leg

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

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

This gives:

$Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}$

$Longer\ leg = 1* \frac{8}{1}$

$Longer\ leg = 1* 8$

$Longer\ leg = 8$