Question

A 30degree, -60degree, -90degree triangle had a hypotenuse of 10. What is the length of the longer leg of the triangle? If anyone can explain how to figure this out I will be so grateful!

Answer 1

The ratio of the sides of this triangle is 2:1:sqrt3 where 2 = hypotenuse and sqrt3 = longer leg.
So if the hypotenuse = 10, the longer leg = (sqrt3/2) * 10 = 5 sqrt3 or 8.66 to nearest hundredth