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RO-TST 2003 Problem 11

    In a square of side 6 the points A,B,C,DA,B,C,D are given such that the distance between any two of the four points is at least 5. Prove that A,B,C,DA,B,C,D form a convex quadrilateral and its area is greater than 21.

    Laurentiu Panaitopol

    Dataset text AI-MO AoPS. Quoted with source.

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