MathDB

2

Part of 2014 Chile National Olympiad

Problems(1)

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

Source:

5/26/2019
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.
geometryparallelogramCentroidareasarea