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paralellogram construction, 3 midpoints given, 2 of altitudes, 1 of side

Source: 2007 Oral Moscow Geometry Olympiad grades 8-9 p3

October 18, 2020
geometryparallelogramconstructionmidpoints

Problem Statement

Construct a parallelogram ABCDABCD, if three points are marked on the plane: the midpoints of its altitudes BHBH and BPBP and the midpoint of the side ADAD.