MathDB
area of quadrilateral with vertices centroids (Chile 2014 L2 P2 )

Source:

May 26, 2019
geometryparallelogramCentroidareasarea

Problem Statement

Consider an ABCDABCD parallelogram of area 11. Let EE be the center of gravity of the triangle ABC,FABC, F the center of gravity of the triangle BCD,GBCD, G the center of gravity of the triangle CDACDA and HH the center of gravity of the triangle DABDAB. Calculate the area of quadrilateral EFGHEFGH.
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