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The perimeter of a triangle, the sum of the products of the lengths of the sides taken two at a time and the product of the sides are denoted by p, q and r respectively. What is the maximum value of rpq?

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The perimeter of a triangle, the sum of the products of the lengths of the sides taken two at a time and the product of the sides are denoted by p, q and r respectively. What is the maximum value of rpq?




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