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Question Number 187762 by normans last updated on 21/Feb/23

$$$$$$\mathit{i}\mathit{f}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{P}\mathit{i}\mathit{s}\mathit{a}\mathit{n}\mathit{y}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{i}\mathit{n}\mathit{s}\mathit{i}\mathit{d}\mathit{e}$$$$△\mathit{A}\mathit{B}\mathit{C}\mathit{w}\mathit{i}\mathit{t}\mathit{h}\mathit{s}\mathit{i}\mathit{d}\mathit{e}\mathit{l}\mathit{e}\mathit{n}\mathit{g}\mathit{h}\mathit{t}\mathit{s}\mathit{a},\mathit{b}\mathit{a}\mathit{n}\mathit{d}\mathit{c}.$$$$\mathit{p}\mathit{r}\mathit{o}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{a}\mathit{t};$$$$\frac{\mathit{P}\mathit{A}}{\mathit{a}}+\frac{\mathit{P}\mathit{B}}{\mathit{b}}+\frac{\mathit{P}\mathit{C}}{\mathit{c}}⩾\sqrt{3}$$$$$$

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