2006 IMO Problems/Problem 6

Revision as of 09:16, 15 May 2024 by Rainbowowl18 (talk | contribs) (Solution)

Problem

Assign to each side $b$ of a convex polygon $P$ the maximum area of a triangle that has $b$ as a side and is contained in $P$. Show that the sum of the areas assigned to the sides of $P$ is at least twice the area of $P$.

Solution

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$MERLIN$ IS A SIGMA

See Also

2006 IMO (Problems) • Resources
Preceded by
Problem 5
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