Difference between revisions of "2016 IMO Problems/Problem 3"
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Revision as of 23:24, 19 April 2017
Problem
Let be a convex polygon in the plane. The vertices have integral coordinates and lie on a circle. Let be the area of . And odd positive integer is given such that the squares of the side lenghts of are integers divisible by . Prove that is an integer divisible by .