MathDB

4

Part of 1994 Dutch Mathematical Olympiad

Problems(1)

same areas

Source: Netherlands 1994

6/28/2009
Let P P be a point on the diagonal BD BD of a rectangle ABCD ABCD, F F be the projection of P P on BC BC, and H \not\equal{} B be the point on BC BC such that BF\equal{}FH. If lines PC PC and AH AH intersect at Q Q, prove that the areas of triangles APQ APQ and CHQ CHQ are equal.
geometryrectanglegeometry unsolved