Difference between revisions of "2011 AIME I Problems/Problem 10"
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The probability that a set of three distinct vertices chosen at random from among the vertices of a regular n-gon determine an obtuse triangle is <math>\frac{93}{125}</math> . Find the sum of all possible values of <math>n</math>. | The probability that a set of three distinct vertices chosen at random from among the vertices of a regular n-gon determine an obtuse triangle is <math>\frac{93}{125}</math> . Find the sum of all possible values of <math>n</math>. | ||
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| + | == Solution == | ||
Revision as of 12:47, 20 March 2011
Problem
The probability that a set of three distinct vertices chosen at random from among the vertices of a regular n-gon determine an obtuse triangle is 
. Find the sum of all possible values of 
.
