Difference between revisions of "2006 IMO Problems/Problem 6"
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− | <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
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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 |