MathDB
perpendicular lines from 3 vertices of convex hexagon are concurrent

Source: Polish second round 1995 p2

January 19, 2020
hexagonconvexconcurrencyconcurrentgeometry

Problem Statement

Let ABCDEFABCDEF be a convex hexagon with AB=BC,CD=DEAB = BC, CD = DE and EF=FAEF = FA. Prove that the lines through C,E,AC,E,A perpendicular to BD,DF,FBBD,DF,FB are concurrent.
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