MathDB

11

Part of 2011 Baltic Way

Problems(1)

Length of RS is independent on P

Source: Baltic Way 2011

11/6/2011
Let ABAB and CDCD be two diameters of the circle CC. For an arbitrary point PP on CC, let RR and SS be the feet of the perpendiculars from PP to ABAB and CDCD, respectively. Show that the length of RSRS is independent of the choice of PP.
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