IMO Shortlist 1986 problem 3


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2. travnja 2012.
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Let A, B, and C be three points on the edge of a circular chord such that B is due west of C and ABC is an equilateral triangle whose side is 86 meters long. A boy swam from A directly toward B. After covering a distance of x meters, he turned and swam westward, reaching the shore after covering a distance of y meters. If x and y are both positive integers, determine y.
Izvor: Međunarodna matematička olimpijada, shortlist 1986