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KöMaL 2012 C1134

    One base of an isosceles trapezium is three times the height, and the other base is two times the height. With a line parallel to one leg, the trapezium is divided into a parallelogram and an isosceles triangle. The diagonals of the trapezium and of the parallelogram are drawn. Prove that the area of the triangle bounded by the diagonals is 1/25 of the area of the trapezium.

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