Question

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

Answer 1

14inches

Explanation:

Draw an equilateral triangle
Cut it in half and you have your 30-60-90 triangle.
The shorter leg is 7
The side of the equilateral triangle is 14
The hypotenuse is 14

Answer 2

`14"in"`

Explanation:

The length of the hypotenuse of a 30-60-90 triangle is always `2` times the length of the shorter leg (and the longer leg is `sqrt3` times the shorter leg).

Therefore, if the shorter leg is `7"in"`, the hypotenuse is `2times7"in"=14"in"`