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Problem 5 of RMO 2006 (Regional Mathematical Olympiad-India)

Source: Trapezium circumscribing a circle

September 13, 2009
geometryinradiusgeometry unsolvednice problem

Problem Statement

Let ABCD ABCD be a quadrilateral in which AB AB is parallel to CD CD and perpendicular to AD; AB \equal{} 3CD; and the area of the quadrilateral is 4 4. if a circle can be drawn touching all the four sides of the quadrilateral, find its radius.
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