MathDB
inequality

Source: Austria 1990

July 10, 2009
inequalitiesgeometrygeometry proposed

Problem Statement

In a convex quadrilateral ABCD ABCD, let E E be the intersection point of the diagonals, and let F1,F2, F_1,F_2, and F F be the areas of ABE,CDE, ABE,CDE, and ABCD, ABCD, respectively. Prove that: \sqrt {F_1}\plus{}\sqrt {F_2} \le \sqrt {F}.
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