Q:

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 7 in? Enter your answer in the box.

Accepted Solution

A:
14 inches.  A 30-60-90 triangle has a set ratio for the sides which is x:x√3:2x for the sides opposite the corresponding angle. (30 = x, 60 = x√3, 90 =2x) the shortest side is the side opposite the 30-degree angle so x=7. The hypotenuse is the side opposite the 90-degree angle. they hypotenuse = 2x. Substitute x. 2(7)=14