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TOT 234 1989 Autumn O S2 quadrilateral construction, given 3 midpoints

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March 12, 2021
geometrygeometric constructionmidpoints

Problem Statement

Three points K,LK, L and MM are given in the plane. It is known that they are the midpoints of three successive sides of an erased quadrilateral and that these three sides have the same length. Reconstruct the quadrilateral.