The pictured tetrahedron has four identical rectangular (i.e., right-angled or pythagorean) triangles as faces, with

AB=CD=p,
AC=BD=q,
AD=BC=r,
and p²+q²=r².

What's its volume, as a function of p, q and r?

The required volume is zero, since D lies in the same plane as A, B, and C.

Edited on February 19, 2024, 1:47 am

Posted by K Sengupta on 2007-05-04 14:53:58