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SE-SKOLORNAS 2008 Problem 1

    A rhombus is inscribed in a convex quadrilateral. The sides of the rhombus are parallel with the diagonals of the quadrilateral, which have the lengths d1d_1 and d2d_2 . Calculate the length of side of the rhombus , expressed in terms of d1d_1 and d2d_2 .

    Dataset text AI-MO AoPS. Quoted with source.

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