Art of Problem Solving

2006 IMO Problems/Problem 6: Difference between revisions

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==Solution==
==Solution==
{{solution}}
{{solution}}
MERLIN HAS INFINITE CHARISMA


==See Also==
==See Also==


{{IMO box|year=2006|num-b=5|after=Last Problem}}
{{IMO box|year=2006|num-b=5|after=Last Problem}}
MERLIN

Revision as of 09:04, 15 May 2024

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

This problem needs a solution. If you have a solution for it, please help us out by adding it. MERLIN HAS INFINITE CHARISMA

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