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



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



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"#