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

May 16, 2017

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

May 16, 2017

$14 \text{in}$

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 $\sqrt{3}$ times the shorter leg).

Therefore, if the shorter leg is $7 \text{in}$, the hypotenuse is $2 \times 7 \text{in"=14"in}$