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2023 IOQM/Problem 15

Revision as of 23:49, 1 September 2024 by Godofmaths (talk | contribs) (Created page with "Let ABCD be a unit square. Suppose M and N are points on BC and CD respectively such that the perimeter of triangle MCN is 2. Let O be the circumcentre of triangle MAN and P b...")
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Let ABCD be a unit square. Suppose M and N are points on BC and CD respectively such that the perimeter of triangle MCN is 2. Let O be the circumcentre of triangle MAN and P be the circumcentre of triangle MON. If (OP⁄OA)²= m/n for some relatively prime positive integers m and n, find the value of m + n.

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