I have developed a new hatred for triangles

I have a triangle. It is a right triangle. The only side that has a known length is the hypotenuse. The other two angles are known. How do I determine the legth of the other two sides without knowing the sine, cosine, or tangent; OR if these are nescesary, how do I determine them with only the knowledge of the angles?

Does anyone even remember the SAS ASS SSS all that crap except middle schoolers? If I wanted to know stuff about triangles, I would use the pythagorean theorem or look up the law of cosines.