Hello, bhill!

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^{o}angle to each

other, and the third edge makes a 90^{o}degree angle to those other two edges. .I also know

the length of one of the three edges: the edge that makes 90^{i}to both of the other two edges.

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? . No

We have tetrahedronCode:A o * * * * 90^{o}*45^{o}* * * * P o * o D * * * * * * * * * B o * * * * * * * o C

Imagine this tetrahedron being several miles high.

Point is on edge

And we know the distance

Imagine cutting the tetrahedron through point with a plane.

No matter what angle we use for the cut

. . the result is a tetrahedron of the form you described.

There is not sufficient information to determine your tetrahedron.