Difference between revisions of "1980 USAMO Problems/Problem 4"

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Revision as of 11:02, 5 October 2012

Problem

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

Solution

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See Also

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