1980 USAMO Problems/Problem 4: Difference between revisions
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..." |
No edit summary |
||
| Line 7: | Line 7: | ||
== See Also == | == See Also == | ||
{{USAMO box|year=1980|num-b=3|num-a=5}} | {{USAMO box|year=1980|num-b=3|num-a=5}} | ||
{{MAA Notice}} | |||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 18:10, 3 July 2013
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 (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. Error creating thumbnail: File missing
