2006 IMO Problems/Problem 6: Difference between revisions
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{{solution}} | {{solution}} | ||
<math>MERLIN</math> HAS INFINITE CHARISMA | <math>MERLIN</math> HAS INFINITE CHARISMA | ||
MERLIN IS A SIGMA | |||
MERLIN IS A SIGMA | |||
MERLIN IS A SIGMA | |||
MERLIN IS A SIGMA | |||
MERLIN IS A SIGMA | |||
MERLIN IS A SIGMA | |||
==See Also== | ==See Also== | ||
{{IMO box|year=2006|num-b=5|after=Last Problem}} | {{IMO box|year=2006|num-b=5|after=Last Problem}} | ||
Revision as of 09:05, 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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
HAS INFINITE CHARISMA
MERLIN IS A SIGMA
MERLIN IS A SIGMA
MERLIN IS A SIGMA
MERLIN IS A SIGMA
MERLIN IS A SIGMA
MERLIN IS A SIGMA
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 | ||
