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min \sqrt2 AP + BP + CP, P interior of square ABCD 2015-16 Dürer Round1 C+3

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December 5, 2022
geometrysquaregeometric inequalityDurer

Problem Statement

Let ABCDABCD be a square with unit sides. Which interior point PP will the expression 2⋅AP+BP+CP\sqrt2 \cdot AP + BP + CP have a minimum value, and what is this minimum?
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