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ASU 326 All Soviet Union MO 1981 locus in a right triangle prism

Source:

July 23, 2019
geometryprism3D geometrylocus in spaceLocus

Problem Statement

The segments [AD],[BE][AD], [BE] and [CF][CF] are the side edges of the right triangle prism. (the equilateral triangle is a base) Find all the points in its base ABCABC, situated on the equal distances from the (AE),(BF)(AE), (BF) and (CD)(CD) lines.