I'm working on a story problem that is using 30-60-90 triangles.

Question

I have to solve for the hypotenuse. The long leg is 6 feet.
So, short leg would be 6 = x square root of 3 /3...Then I'm stuck. I know the hypotenuse is dbl the short leg

Answer 1

as you say, the short leg is

6/√3

so, the hypotenuse is 12/√3

or, they can be written as

2√3 and 4√3

Answer 2

Thank you.