Category: Geometry

Question Number 187762 by normans last updated on 21/Feb/23 $$$$$$\mathit{i}\mathit{f}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{P}\mathit{i}\mathit{s}\mathit{a}\mathit{n}\mathit{y}\mathit{p}\mathit{o}\mathit{i}\mathit{n}\mathit{t}\mathit{i}\mathit{n}\mathit{s}\mathit{i}\mathit{d}\mathit{e}$$$$△\mathit{A}\mathit{B}\mathit{C}\mathit{w}\mathit{i}\mathit{t}\mathit{h}\mathit{s}\mathit{i}\mathit{d}\mathit{e}\mathit{l}\mathit{e}\mathit{n}\mathit{g}\mathit{h}\mathit{t}\mathit{s}\mathit{a},\mathit{b}\mathit{a}\mathit{n}\mathit{d}\mathit{c}.$$$$\mathit{p}\mathit{r}\mathit{o}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{a}\mathit{t};$$$$\frac{\mathit{P}\mathit{A}}{\mathit{a}}+\frac{\mathit{P}\mathit{B}}{\mathit{b}}+\frac{\mathit{P}\mathit{C}}{\mathit{c}}⩾\sqrt{3}$$$$$$ Terms of Service…

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Question Number 187691 by normans last updated on 21/Feb/23 $$$$$$\mathit{M}\mathit{i}\mathit{s}\mathit{a}\mathit{l}\mathit{k}\mathit{a}\mathit{n}\mathit{P}\mathit{s}\mathit{e}\mathit{b}\mathit{a}\mathit{r}\mathit{a}\mathit{n}\mathit{g}\mathit{t}\mathit{i}\mathit{t}\mathit{i}\mathit{k}\mathit{d}\mathit{i}\mathit{d}\mathit{a}\mathit{l}\mathit{a}\mathit{m}\mathbf{\Delta }\mathit{A}\mathit{B}\mathit{C}\mathit{s}\mathit{e}\mathit{h}\mathit{i}\mathit{n}\mathit{g}\mathit{g}\mathit{a}\mathit{P}\mathit{D},\mathit{P}\mathit{E},\mathit{d}\mathit{a}\mathit{n}\mathit{P}\mathit{F}$$$$\mathit{m}\mathit{a}\mathit{s}\mathit{i}\mathit{n}\mathit{g}\mathit{m}\mathit{a}\mathit{s}\mathit{i}\mathit{n}\mathit{g}\mathit{t}\mathit{e}\mathit{g}\mathit{a}\mathit{k}\mathit{l}\mathit{u}\mathit{r}\mathit{u}\mathit{s}\mathit{d}\mathit{e}\mathit{n}\mathit{g}\mathit{a}\mathit{n}\mathit{s}\mathit{i}\mathit{s}\mathit{i}\mathit{B}\mathit{C},\mathit{C}\mathit{A}\mathit{d}\mathit{a}\mathit{n}\mathit{A}\mathit{B}$$$$\mathit{J}\mathit{i}\mathit{k}\mathit{a}\mathit{p}\mathit{a}\mathit{n}\mathit{j}\mathit{a}\mathit{n}\mathit{g}\mathit{s}\mathit{i}\mathit{s}\mathit{i}\mathit{B}\mathit{C},\mathit{C}\mathit{A}\mathit{d}\mathit{a}\mathit{n}\mathit{A}\mathit{B}$$$$\mathit{m}\mathit{a}\mathit{s}\mathit{i}\mathit{n}\mathit{g}\mathit{m}\mathit{a}\mathit{s}\mathit{i}\mathit{n}\mathit{g}\mathit{d}\mathit{i}\mathit{n}\mathit{o}\mathit{t}\mathit{a}\mathit{s}\mathit{i}\mathit{k}\mathit{a}\mathit{n}\mathit{d}\mathit{e}\mathit{n}\mathit{g}\mathit{a}\mathit{n}\mathit{a},\mathit{b}\mathit{d}\mathit{a}\mathit{n}\mathit{c}.$$$$\mathit{b}\mathit{i}\mathit{l}\mathit{a}\mathit{x},\mathit{y}\mathit{d}\mathit{a}\mathit{n}\mathit{z}\mathit{a}\mathit{d}\mathit{a}\mathit{l}\mathit{a}\mathit{h}\mathit{s}\mathit{e}\mathit{b}\mathit{a}\mathit{r}\mathit{a}\mathit{n}\mathit{g}\mathit{b}\mathit{i}\mathit{l}\mathit{a}\mathit{n}\mathit{g}\mathit{a}\mathit{n}\mathit{r}\mathit{e}\mathit{a}\mathit{l}\mathit{y}\mathit{a}\mathit{n}\mathit{g}\mathit{m}\mathit{e}\mathit{m}\mathit{e}\mathit{n}\mathit{u}\mathit{h}\mathit{i}\mathit{x}\mathit{y}+\mathit{y}\mathit{z}+\mathit{x}\mathit{z}⩾0$$$$\mathit{T}\mathit{u}\mathit{n}\mathit{j}\mathit{u}\mathit{k}\mathit{k}\mathit{a}\mathit{n}\mathit{b}\mathit{a}\mathit{h}\mathit{w}\mathit{a};$$$$\:\:\:\:\left(\boldsymbol{{y}}\:+\:\boldsymbol{{z}}\right)\:\frac{\boldsymbol{{PA}}}{\boldsymbol{{a}}}\:+\:\left(\boldsymbol{{z}}+\boldsymbol{{x}}\right)\frac{\boldsymbol{{PB}}}{\boldsymbol{{b}}}\:\:+\:\left(\boldsymbol{{x}}\:+\:\boldsymbol{{y}}\right)\:\frac{\boldsymbol{{PC}}}{\boldsymbol{{c}}}\:\:\geqslant\:\mathrm{2}\sqrt{\boldsymbol{{xy}}\:+\:\boldsymbol{{yz}}\:+\boldsymbol{{zx}}}\:\:\: \…

Question Number 122056 by I want to learn more last updated on 13/Nov/20 Commented by 676597498 last updated on 13/Nov/20 $$\mathrm{your}\mathrm{posting}\mathrm{iymc}\mathrm{questions}$$$$\mathrm{you}\mathrm{will}\mathrm{be}\mathrm{disqualified}$$$$\mathrm{i}\:\mathrm{have}\:\mathrm{no}\:\mathrm{option}\:\mathrm{but}\:\mathrm{to}\:\mathrm{report}…

Question Number 187585 by Mingma last updated on 19/Feb/23 Commented by Mingma last updated on 19/Feb/23 Blue area=? Answered by HeferH last updated on 20/Feb/23 $${let}\:{x}\:{be}\:{the}\:{side}\:{of}\:{the}\:{square}…