Category: Geometry

Question Number 189605 by normans last updated on 19/Mar/23 Commented by mr W last updated on 19/Mar/23 $$\frac{a/4}{7}=\frac{9-a/4}{9}$$$$\Rightarrow a=\frac{4\times 7\times 9}{7+9}=\frac{63}{4}$$ Commented by normans…

Question Number 189603 by normans last updated on 19/Mar/23 Answered by a.lgnaoui last updated on 19/Mar/23 $$△ADF:\measuredangle ADF=90-18=72$$$$\frac{\sin 18}{\mathrm{DF}}=\frac{\sin 72}{\mathrm{AF}}\left(1\right)$$$$△ABF:\measuredangle BAF=48+18=66;\measuredangle ABF=90-66=24$$$$\frac{\sin 24}{\mathrm{AF}}=\frac{\sin 66}{\mathrm{BF}}\mathrm{BF}=\mathrm{BD}+\mathrm{DF}=6+\mathrm{DF}$$$$\frac{\mathrm{sin}\:\mathrm{24}}{\mathrm{AF}}=\frac{\mathrm{sin}\:\mathrm{66}}{\mathrm{6}+\mathrm{DF}}\:\:\:\:\:\:\:\:\:\:\left(\mathrm{2}\right)…

Question Number 124048 by ajfour last updated on 30/Nov/20 Commented by ajfour last updated on 30/Nov/20 $$Findsidesofequilateral△in$$$$termsof\lambda .Radiusisunity.$$ Answered by mr W…

Question Number 58493 by Tawa1 last updated on 23/Apr/19 Answered by math1967 last updated on 24/Apr/19 $$At2.00pmdistancebetween2cars$$$$=915-75=840km$$$$timetakenbothmeet=\frac{840}{75+100}=4\frac{4}{5}hr$$$$2pm+4hr48m=6:48pm$$…

Question Number 124021 by Algoritm last updated on 30/Nov/20 Commented by Algoritm last updated on 30/Nov/20 $$\mathrm{\angle }\mathrm{APD}=?$$ Commented by mr W last updated…