Question

The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?

12cm
6cm
6v3
6v2

Answer 1

12cm aka B.

Explanation:

In a 30-60-90 triangle, the hypotenuse is always twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg.

Since the length of the shorter leg is 6 cm, the hypotenuse is:

2 times the length of the shorter leg = 2 × 6 cm = 12 cm

Therefore, the length of the hypotenuse of the triangle is 12 cm.

Your welcome