Category: Geometry

Question Number 182178 by BagusSetyoWibowo last updated on 05/Dec/22 $${The}\:{Circle}\:{Has}\:{A}\:{Radius}\:\mathrm{5}{cm} \\ $$$${And}\:{the}\:{angle}\:{between} \\ $$$$\:{sector}\:{from}\:{the}\:{chord}\:{is} \\ $$$$\mathrm{73}.\mathrm{7397952916880}° \\ $$$${and}\:{their}\:{right}\:{triangle}\:{is} \\ $$$${AB}=\mathrm{4}\:{cm} \\ $$$${AC}=\mathrm{3}\:{cm} \\ $$$${Find}\:{the}\:{area}\:{of}\:{arc}\:{triangle} \\…

Question Number 51088 by ajfour last updated on 23/Dec/18 Commented by ajfour last updated on 23/Dec/18 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{ABC}. \\ $$ Answered by ajfour last updated on…

Question Number 182149 by Acem last updated on 05/Dec/22 Commented by Acem last updated on 05/Dec/22 $$\:{Find}\:\alpha \\ $$ Answered by HeferH last updated on…

Question Number 182103 by mr W last updated on 04/Dec/22 Commented by mr W last updated on 04/Dec/22 $${find}\:{the}\:{smallest}\:{area}\:{of}\:{inscribed}\: \\ $$$${equilateral}\:{triangle}\:{in}\:{the}\:{given}\: \\ $$$${triangle}\:{with}\:{sides}\:\mathrm{3},\mathrm{5},\mathrm{7}. \\ $$…

Question Number 182078 by Acem last updated on 04/Dec/22 Answered by mr W last updated on 05/Dec/22 $$\frac{\mathrm{sin}\:\mathrm{30}}{\mathrm{sin}\:\left(\mathrm{30}−\theta\right)}=\frac{\mathrm{sin}\:\left(\mathrm{30}+\theta\right)}{\mathrm{sin}\:\theta} \\ $$$$\frac{\mathrm{sin}\:\theta}{\mathrm{2}}=\frac{\left(\mathrm{cos}\:\theta+\sqrt{\mathrm{3}}\:\mathrm{sin}\:\theta\right)\left(\mathrm{cos}\:\theta−\sqrt{\mathrm{3}}\:\mathrm{sin}\:\theta\right)}{\mathrm{4}} \\ $$$$\mathrm{2}\:\mathrm{sin}\:\theta=\mathrm{cos}^{\mathrm{2}} \:\theta−\mathrm{3}\:\mathrm{sin}^{\mathrm{2}} \:\theta \\…