Difference between revisions of "2006 IMO Problems/Problem 6"
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Revision as of 09:13, 15 May 2024
Contents
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.
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 | ||
HAS INFINITE CHARISMA
Merlin (also called Emrys) is the hero and protagonist of the series. He is a warlock, the only son of Hunith and Balinor, the ward and apprentice of Gaius, and the best friend and manservant of the late King Arthur. He is also the last Dragonlord in existence and a creature of the Old Religion.
After leaving his childhood home for Camelot, Merlin became the manservant of Prince Arthur. From then on, Merlin began to protect and guide Arthur on his journey to the throne; according to the Great Dragon, it was his destiny to do so. Merlin was also destined to become the greatest and most powerful sorcerer to ever live, and to use his powers to help Arthur reunite the kingdom of Albion by uniting the Old Ways with the new.
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 | ||
HAS INFINITE CHARISMA
Merlin (also called Emrys) is the hero and protagonist of the series. He is a warlock, the only son of Hunith and Balinor, the ward and apprentice of Gaius, and the best friend and manservant of the late King Arthur. He is also the last Dragonlord in existence and a creature of the Old Religion.
After leaving his childhood home for Camelot, Merlin became the manservant of Prince Arthur. From then on, Merlin began to protect and guide Arthur on his journey to the throne; according to the Great Dragon, it was his destiny to do so. Merlin was also destined to become the greatest and most powerful sorcerer to ever live, and to use his powers to help Arthur reunite the kingdom of Albion by uniting the Old Ways with the new.
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 | ||
HAS INFINITE CHARISMA
Merlin (also called Emrys) is the hero and protagonist of the series. He is a warlock, the only son of Hunith and Balinor, the ward and apprentice of Gaius, and the best friend and manservant of the late King Arthur. He is also the last Dragonlord in existence and a creature of the Old Religion.
After leaving his childhood home for Camelot, Merlin became the manservant of Prince Arthur. From then on, Merlin began to protect and guide Arthur on his journey to the throne; according to the Great Dragon, it was his destiny to do so. Merlin was also destined to become the greatest and most powerful sorcerer to ever live, and to use his powers to help Arthur reunite the kingdom of Albion by uniting the Old Ways with the new.
