2008 USAMO Problems/Problem 4
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>Forum/viewtopic.php?t=202905 Discussion on AoPS/MathLinks</url>