MathDB
2005 Geometry #3: Centroided Triangle Nest

Source:

May 12, 2013
geometryrectangletrigonometry

Problem Statement

Let ABCDABCD be a rectangle with area 11, and let EE lie on side CDCD. What is the area of the triangle formed by the centroids of triangles ABEABE, BCEBCE, and ADEADE?