MathDB
Concurrency in a cyclic quadrilateral

Source: Baltic Way 2016, Problem 20

November 5, 2016
geometrycyclic quadrilateral

Problem Statement

Let ABCDABCD be a cyclic quadrilateral with ABAB and CDCD not parallel. Let MM be the midpoint of CD.CD. Let PP be a point inside ABCDABCD such that PA=PB=CM.P A = P B = CM. Prove that AB,CDAB, CD and the perpendicular bisector of MPMP are concurrent.
Back to ProblemsView on AoPS