Question

Which of the following are true statements about a 30-60-90 triangle?

Check all that apply.
A. The hypotenuse is 3 times as long as the longer leg.
B. The hypotenuse is twice as long as the longer leg.
C. The longer leg is twice as long as the shorter leg.
D. The longer leg is 3 times as long as the shorter leg.
E. The hypotenuse is twice as long as the shorter leg.
F. The hypotenuse is 3 times as long as the shorter leg.

Answer 1

• D. The longer leg is √3 times as long as the shorter leg.
• E. The hypotenuse is twice as long as the shorter leg.

Explanation:

You want to know which of the listed statements is true of a 30°-60°-90° triangle.

Side lengths

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2.

This makes the following statements true:

• D. The longer leg is √3 times as long as the shorter leg.
• E. The hypotenuse is twice as long as the shorter leg.