Difference between revisions of "2008 USAMO Problems/Problem 4"
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Revision as of 18:57, 1 May 2008
Problem
(Gregory Galparin) Let 
be a convex polygon with 
sides, 
. Any set of 
diagonals of that do not intersect in the interior of the polygon determine a [i]triangulation[/i] of into 
triangles. If is regular and there is a triangulation of consisting of only isosceles triangles, find all the possible values of .
Solution
Solution 1
Solution 2
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
Resources
| 2008 USAMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
- <url>viewtopic.php?t=202905 Discussion on AoPS/MathLinks</url>
