MathDB
Reactangle

Source: Baltic Way 2003

October 27, 2005
geometryrectanglecircumcircleperpendicular bisectorgeometry proposed

Problem Statement

In a rectangle ABCDABCD be a rectangle and BC=2ABBC = 2AB, let EE be the midpoint of BCBC and PP an arbitrary inner point of ADAD. Let FF and GG be the feet of perpendiculars drawn correspondingly from AA to BPBP and from DD to CPCP. Prove that the points E,F,P,GE,F,P,G are concyclic.
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