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

Question

It's a fill-in-the-blank question, but I don't get it.

Answer 1

A 30-60-90 triangle is a right triangle with its angles measuring 30, 60, and 90 degrees. A triangle with these angles has unique characteristics. The sides have certain ratios to one another.

The shorter leg is X long. The hypotenuse is twice as long as the shorter leg (2X). The longer leg is √3 * X. This means that the longer leg is √3 times as long as the shorter leg.