MathDB
2015 Geometry #2

Source:

December 23, 2016

Problem Statement

Let ABCABC be a triangle with orthocenter HH; suppose AB=13AB=13, BC=14BC=14, CA=15CA=15. Let GAG_A be the centroid of triangle HBCHBC, and define GBG_B, GCG_C similarly. Determine the area of triangle GAGBGCG_AG_BG_C.
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