# 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

$14 \text{in}$
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 $2 \times 7 \text{in"=14"in}$
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