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.
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Ten problems: 1411-1420
HTML5 and Dynamic Geometry
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