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

2 Answers
Annie
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

Scott F.
May 16, 2017

#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"#

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