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Source: May Olympiad(Olimpiada de Mayo) 2017

October 2, 2017
geometryparallelogram

Problem Statement

Let ABCDABCD be a quadrilateral such that ∠ABC=∠ADC=90º\angle ABC = \angle ADC = 90º and ∠BCD\angle BCD > 90º90º. Let PP be a point inside of the ABCDABCD such that BCDPBCDP is parallelogram, the line APAP intersects BCBC in MM. If BM=2,MC=5,CD=3BM = 2, MC = 5, CD = 3. Find the length of AMAM.
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