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TOT 552 1997 Autumn J A2 line contruction

Source:

September 11, 2024
geometrygeometric constructionline construction

Problem Statement

MM is the midpoint of the side BCBC of a triangle ABCABC. Construct a line \ell intersecting the triangle and parallel to BCBC such that the segment of \ell between the sides ABAB and ACAC is the hypotenuse of a right-angled triangle with MM being its third vertex.
(Folklore)