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TOT 148 1987 Spring Main S4 locus wanted, right,w equilateral related

Source:

April 17, 2020
geometryLocusperpendicularEquilateral

Problem Statement

Perpendiculars are drawn from an interior point MM of the equilateral triangle ABCABC to its sides , intersecting them at points D,ED, E and FF . Find the locus of all points MM such that DEFDEF is a right triangle .
(J . Tabov , Sofia)
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