Question

There is a 30, 60, 90 triangle with a short side of 5 and the hypotenuse is 10, how do I find the long leg?

Answer 1

The Long leg is `5sqrt{3}`

Explanation:

By the Theorem of Pythagorean

`c^2=a^2+b^2` (in usual Notation)
we get

`a=sqrt(100-25)=sqrt(75)=sqrt(3*25)=5sqrt(3)`