Inside a quadrilateral ABCD there exists a point P such that AP is perpendicular to AD and the line BP is perpendicular to DC. Besides, AB=7, AP=3, BP=6, AD=5 and CD=10. Calculate the area of the triangle ABC.
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Tags: geometry
Inside a quadrilateral ABCD there exists a point P such that AP is perpendicular to AD and the line BP is perpendicular to DC. Besides, AB=7, AP=3, BP=6, AD=5 and CD=10. Calculate the area of the triangle ABC.