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?

(In reply to Solution by Victor Zapana)

What's a cevian? It's not in my mathematics dictionary.

Posted by Charlie on 2004-04-26 20:58:03