How do you find possible side lengths of a right triangle given another angle and using SOHCAHTOA?

Question

For example, if I was given a right triangle with a 30 degree angle in one vertex, which would be the theta, is there a way to find the possible side lengths without doing guess-and-check? Or are there steps to find that?

Answer 1

If a right triangle has a 30 degree angle, that means it's a 30-60-90 triangle, and the side lengths are:

Small leg: x

Large leg: x sqrt(3)

Hypotenuse: 2x