I have a tetrahedron I am trying to solve. I know the angles that the three edges of the solid (that are connected to the apex) make to each other - two edges make a 45 degree angle to each other, and the third edge makes a 90 degree angle to those other two edges. I also know the length of one of the three edges - the length of the edge that makes a 90 to both of the other two edges is known.
With these three angles, and the one length - is it possible to solve for the lengths of the other two edges? And thus for the angles and length of the base?
If so, how would I proceed?