Difference between revisions of "1962 IMO Problems/Problem 7"
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Revision as of 23:30, 18 July 2016
Problem
The tetrahedron 
has the following property: there exist five spheres, each tangent to the edges 
, or to their extensions.
(a) Prove that the tetrahedron is regular.
(b) Prove conversely that for every regular tetrahedron five such spheres exist.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1962 IMO (Problems) • Resources | ||
| Preceded by Problem 6 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Question |
| All IMO Problems and Solutions | ||
