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?

All you need is 3 data. 3 angles, 2 angles and 1 side, 2 sides and 1 angle, or 3 sides.