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triangle construction, given orthocenter, cuts of median, angle-bisector

Source: 2012 Oral Moscow Geometry Olympiad grades 8-9 p6

September 8, 2019
geometryconstructionorthocentermedianangle bisector

Problem Statement

Restore the triangle with a compass and a ruler given the intersection point of altitudes and the feet of the median and angle bisectors drawn to one side. (No research required.)