MathDB

13

Part of 2003 Baltic Way

Problems(1)

Reactangle

Source: Baltic Way 2003

10/27/2005
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.
geometryrectanglecircumcircleperpendicular bisectorgeometry proposed