Difference between revisions of "2006 IMO Problems/Problem 6"
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Revision as of 10:09, 15 May 2024
Problem
Assign to each side of a convex polygon
the maximum area of a triangle that has
as a side and is contained in
. Show that the sum of the areas assigned to the sides of
is at least twice the area of
.
Solution
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See Also
2006 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Problem |
All IMO Problems and Solutions |