1980 USAMO Problems/Problem 4

Revision as of 11:02, 5 October 2012 by 1=2 (talk | contribs) (Created page with "== Problem == The insphere of a tetrahedron touches each face at its centroid. Show that the tetrahedron is regular. == Solution == {{solution}} == See Also == {{USAMO box|year...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The insphere of a tetrahedron touches each face at its centroid. Show that the tetrahedron is regular.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1980 USAMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5
All USAMO Problems and Solutions