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RU-ALLRUSSIAN 1973 Problem 12

    A triangle has area 1, and sides a≥b≥c\mathrm{a}\geq \mathrm{b}\geq \mathrm{c} . Prove that b2≥2\mathrm{b}^2\geq 2

    Dataset text NuminaMath olympiads. Quoted with source.

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