MathDB
PRMO 2018

Source: Pre-RMO India

August 25, 2018
geometryorthocentermedian

Problem Statement

Let ΔABC\Delta ABC be an acute-angled triangle and let HH be its orthocentre. Let G1,G2G_1, G_2 and G3G_3 be the centroids of the triangles ΔHBC,ΔHCA\Delta HBC , \Delta HCA and ΔHAB\Delta HAB respectively. If the area of ΔG1G2G3\Delta G_1G_2G_3 is 77 units, what is the area of ΔABC\Delta ABC ?
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