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Category: Geometry

Question-39365

Question Number 39365 by behi83417@gmail.com last updated on 05/Jul/18 Commented by behi83417@gmail.com last updated on 05/Jul/18 $$\boldsymbol{{triangle}}\:\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{B}C}},\boldsymbol{{is}}\:\boldsymbol{{given}}. \\ $$$$\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{N}B}},\boldsymbol{{A}}\overset{\blacktriangle} {\boldsymbol{{G}C}},\boldsymbol{{B}}\overset{\blacktriangle} {\boldsymbol{{J}C}},\boldsymbol{{are}}\:\boldsymbol{{isoscale}} \\ $$$$\boldsymbol{{triangles}}\:\boldsymbol{{with}}:…

Question-39349

Question Number 39349 by ajfour last updated on 05/Jul/18 Commented by MrW3 last updated on 08/Jul/18 $${Find}\:{the}\:{radius}\:{of}\:{circle}\:{which} \\ $$$${divides}\:{the}\:{perimeter}\:{of}\:{the}\:{ellipse} \\ $$$${into}\:\mathrm{4}\:{equal}\:{segments}. \\ $$ Answered by…

Question-39303

Question Number 39303 by behi83417@gmail.com last updated on 05/Jul/18 Commented by behi83417@gmail.com last updated on 05/Jul/18 $$\boldsymbol{{equaliteral}}\:\boldsymbol{{triangle}}\:\boldsymbol{{with}}\:\boldsymbol{{sides}}: \\ $$$$\boldsymbol{{BC}}=\mathrm{1},\boldsymbol{{rotates}}\:\boldsymbol{{about}}\::\boldsymbol{{B}},\boldsymbol{{at}}\:\boldsymbol{{angle}}:\mathrm{15}^{\bullet} \\ $$$$\left.\mathrm{1}\right)\boldsymbol{{find}}\:\boldsymbol{{common}}\:\boldsymbol{{area}}\:\boldsymbol{{between}} \\ $$$$\boldsymbol{{rest}}\:\boldsymbol{{and}}\:\boldsymbol{{rotated}}\:\boldsymbol{{case}}. \\ $$$$\left.\mathrm{2}\right)\boldsymbol{{yes}}\:\boldsymbol{{or}}\:\boldsymbol{{no}}!…

Question-170374

Question Number 170374 by cortano1 last updated on 22/May/22 Commented by mr W last updated on 22/May/22 $$\mathrm{tan}\:{x}=\frac{\mathrm{tan}\:\mathrm{40}}{\mathrm{1}+\frac{\mathrm{tan}\:\mathrm{40}}{\mathrm{tan}\:\mathrm{30}}}\:\Rightarrow{x}\approx\mathrm{18}.\mathrm{88}° \\ $$ Commented by Tawa11 last updated…

Question-170369

Question Number 170369 by cortano1 last updated on 22/May/22 Answered by som(math1967) last updated on 22/May/22 $$\:{sin}\mathrm{10}=\frac{{b}}{\mathrm{2}{a}} \\ $$$$\:\mathrm{3}{sin}\mathrm{10}−\mathrm{4}{sin}^{\mathrm{3}} \mathrm{10}={sin}\mathrm{30} \\ $$$$\Rightarrow\frac{\mathrm{3}{b}}{\mathrm{2}{a}}\:−\frac{\mathrm{4}{b}^{\mathrm{3}} }{\mathrm{8}{a}^{\mathrm{3}} }=\frac{\mathrm{1}}{\mathrm{2}} \\…