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Construction given midpoints and orthocenter

Source: Ibero-American Olympiad 1991, Problem 6

May 3, 2007
geometrycircumcirclequadraticsparallelogramalgebrageometry proposed

Problem Statement

Let MM, NN and PP be three non-collinear points. Construct using straight edge and compass a triangle for which MM and NN are the midpoints of two of its sides, and PP is its orthocenter.
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