2006 IMO Problems/Problem 6

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

2006 IMO (Problems) • Resources
Preceded by Problem 5	1 • 2 • 3 • 4 • 5 • 6	Followed by Last Problem
All IMO Problems and Solutions

Page

Toolbox

Search

2006 IMO Problems/Problem 6

Problem

Solution

See Also