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Question Number 39511 by behi83417@gmail.com last updated on 06/Jul/18

Commented by behi83417@gmail.com last updated on 08/Jul/18

$$\mathit{i}\mathit{n}\mathit{A}\mathit{B}\mathit{C}\mathit{D},\mathit{E},\mathit{i}\mathit{s}\mathit{t}\mathit{h}\mathit{e}\mathit{i}\mathit{n}\mathit{t}\mathit{e}\mathit{r}\mathit{s}\mathit{e}\mathit{c}\mathit{t}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}$$$$\mathit{o}\mathit{f}\mathit{d}\mathit{i}\mathit{a}\mathit{g}\mathit{o}\mathit{n}\mathit{a}\mathit{l}\mathit{s}.\mathit{d}\mathit{r}\mathit{a}\mathit{w}\mathit{o}\mathit{u}\mathit{t}\mathit{c}\mathit{i}\mathit{r}\mathit{c}\mathit{l}\mathit{e}\mathit{s}\mathit{o}\mathit{f}$$$$\mathit{A}\stackrel{△}{\mathit{B}\mathit{E}}\mathit{a}\mathit{n}\mathit{d}\mathit{C}\stackrel{△}{\mathit{D}\mathit{E}}.\mathit{s}\mathit{a}\mathit{y}\mathit{t}\mathit{h}\mathit{e}\mathit{c}\mathit{e}\mathit{n}\mathit{t}\mathit{e}\mathit{r}\mathit{o}\mathit{f}$$$$\mathit{t}\mathit{w}\mathit{o}\mathit{c}\mathit{i}\mathit{r}\mathit{c}\mathit{l}\mathit{e}\mathit{s}\mathit{a}\mathit{s}:\mathit{P}\mathit{a}\mathit{n}\mathit{d}\mathit{Q}.$$$$\mathit{s}\mathit{h}\mathit{o}\mathit{w}\mathit{t}\mathit{h}\mathit{a}\mathit{t}:\mathit{P}\mathit{Q}⩾\frac{\mathit{A}\mathit{B}+\mathit{C}\mathit{D}}{4}.$$

Commented by ajfour last updated on 08/Jul/18

$$GreatQuestion!$$

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