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Category: Geometry

Question-53071

Question Number 53071 by behi83417@gmail.com last updated on 16/Jan/19 Commented by behi83417@gmail.com last updated on 16/Jan/19 $${as}\:{shown}\:{in}\:{fig}: \\ $$$${prove}\:{that}: \\ $$$$\:\:\:\:\:\:\:\:\rightarrow\:\frac{\boldsymbol{\mathrm{area}}\:\boldsymbol{\mathrm{of}}\:\:{outer}\:\:\boldsymbol{\mathrm{hexagon}}}{\boldsymbol{\mathrm{area}}\:\boldsymbol{\mathrm{of}}\:\:{inner}\:\boldsymbol{\mathrm{triangle}}}\:\:\:\geqslant\:\mathrm{13} \\ $$ Commented by…

We-cut-a-square-sheet-of-metal-into-equal-thirteen-cross-slices-we-measured-its-perimeter-of-168-cm-How-much-was-the-perimeter-of-the-plate-before-cutting-

Question Number 184105 by Acem last updated on 02/Jan/23 $$\:{We}\:{cut}\:{a}\:{square}\:{sheet}\:{of}\:{metal}\:{into}\:{equal}\:{thirteen} \\ $$$$\:{cross}\:{slices},\:{we}\:{measured}\:{its}\:{perimeter}\:{of}\:\mathrm{168}\:{cm} \\ $$$$\:{How}\:{much}\:{was}\:{the}\:{perimeter}\:{of}\:{the}\:{plate} \\ $$$$\:{before}\:{cutting}? \\ $$ Answered by manxsol last updated on 03/Jan/23…

Question-53031

Question Number 53031 by behi83417@gmail.com last updated on 16/Jan/19 Commented by behi83417@gmail.com last updated on 16/Jan/19 $${AB}<{CB}. \\ $$$$\measuredangle{ABE}=\measuredangle{EBF}=\measuredangle{FBC} \\ $$$$……{show}\:{that}:\:\:\:\:\frac{\boldsymbol{\mathrm{BE}}}{\boldsymbol{\mathrm{BF}}}\:>\mathrm{1}\:\:. \\ $$ Answered by…

Question-184041

Question Number 184041 by Acem last updated on 02/Jan/23 Answered by HeferH last updated on 02/Jan/23 $$\overset{\frown} {{TN}}\:=\:\frac{\pi}{\mathrm{3}}\:=\:\frac{\mathrm{180}°}{\mathrm{3}}\:=\:\mathrm{60}°\:\:\Rightarrow\:\angle{TAN}\:=\:\frac{\overset{\frown} {{TN}}}{\mathrm{2}}\:=\:\mathrm{30}° \\ $$$$\:\angle{AOT}\:=\:\mathrm{120}°\:\left(\bigtriangleup{AOT}\:{isosceles}\right)\: \\ $$$$\:\angle{ATC}\:=\:\frac{\overset{\frown} {{AT}}}{\mathrm{2}}\:=\:\mathrm{60}\:\:\Rightarrow\:\angle{ACT}\:=\:\mathrm{90}°\: \\…