Answer to Question #36623 in Geometry for Brandon

Question

What is the angle of inclination or slope between the base and the sides of a trirectangular tetrahedron?

Answer 1

To find the slope between the base and the side of a rectangular tetrahedron you should consider two lines. The first line is started in the vertex of the tetrahedron and lies on the face of the tetrahedron. The second line is started at the projection of the vertex to the base and lies in the base of the tetrahedron. Each of these lines should be perpendicular to the common line of these two planes. The angle between these lines is the angle of inclination.