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

2 Answers
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"in"14in

Explanation:

The length of the hypotenuse of a 30-60-90 triangle is always 22 times the length of the shorter leg (and the longer leg is sqrt33 times the shorter leg).

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