Difference between revisions of "1980 USAMO Problems/Problem 4"
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Revision as of 22:17, 18 July 2016
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 (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
