Dynamic Geometry Problem 1464: Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas.
Let ABCD be a quadrilateral with a point P inside ABCD (see the figure below). if S1 = area AEPH, S2 = area PEBF, S3 = area PFCG and S4 = area PGDH, prove that S1 + S3 = S2 + S4.
Static Diagram of Geometry Problem 1464
Poster of Geometry Problem 1464 using iPad Apps
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