Given a regular tetrahedron of unit volume, the mean triangle area of a triangle picked at random inside it is approximately , and the variance is .
Tetrahedron Triangle Picking
See also
Tetrahedron Line Picking, Tetrahedron Tetrahedron PickingExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Tetrahedron Triangle Picking." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TetrahedronTrianglePicking.html