olymmath

KöMaL 2015 C1300

    The lengths of the sides of a convex quadrilateral, in this order, are a\sqrt{a} , a+3\sqrt{a+3}, a+2\sqrt{a+2} and 2a+5\sqrt{2a+5}. The length of each diagonal is 2a+5\sqrt{2a+5}. Determine the greatest angle of the quadrilateral.

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