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Bangladesh Mathematical Olympiad 2020 Final

Source: BdMO 2020 Final Primary Category Problem 6

August 30, 2020
analytic geometrygeometry

Problem Statement

Point PP is taken inside the square ABCDABCD such that BP+DP=25BP + DP=25, CP−AP=15CP - AP = 15 and ∠\angleABP = ∠\angleADP. What is the radius of the circumcircle of ABCDABCD?
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