2006 IMO Problems: Difference between revisions
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==Problem 2== | ==Problem 2== | ||
Let <math>P</math> be a regular 2006-gon. A diagonal of <math>P</math> is called good if its endpoints divide the boundary of <math>P</math> into two parts, each composed of an odd number of sides of <math>P</math>. The sides of <math>P</math> are also called good. Suppose <math>P</math> has been dissected into triangles by 2003 diagonals, no two of which have a common point in the interior of <math>P</math>. Find the maximum number of isosceles triangles having two good sides that could appear in such a configuration. | |||
==Problem 3== | ==Problem 3== | ||
Revision as of 19:13, 12 June 2015
Problem 1
Problem 2
Let 
be a regular 2006-gon. A diagonal of is called good if its endpoints divide the boundary of into two parts, each composed of an odd number of sides of . The sides of are also called good. Suppose has been dissected into triangles by 2003 diagonals, no two of which have a common point in the interior of . Find the maximum number of isosceles triangles having two good sides that could appear in such a configuration.
