MathDB
locus

Source: Ireland 1997

July 3, 2009
geometry proposedgeometry

Problem Statement

For a point M M inside an equilateral triangle ABC ABC, let D,E,F D,E,F be the feet of the perpendiculars from M M onto BC,CA,AB BC,CA,AB, respectively. Find the locus of all such points M M for which ∠FDE \angle FDE is a right angle.
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