Category: Geometry

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

Question Number 189603 by normans last updated on 19/Mar/23 Answered by a.lgnaoui last updated on 19/Mar/23 $$\bigtriangleup{ADF}:\:\:\:\:\:\measuredangle{ADF}=\mathrm{90}−\mathrm{18}=\mathrm{72} \\ $$$$\:\frac{\mathrm{sin}\:\mathrm{18}}{\mathrm{DF}}=\frac{\mathrm{sin}\:\mathrm{72}}{\mathrm{AF}}\:\:\:\:\:\:\:\left(\mathrm{1}\right) \\ $$$$\:\bigtriangleup{ABF}\::\:\:\measuredangle{BAF}=\mathrm{48}+\mathrm{18}=\mathrm{66};\:\:\measuredangle{ABF}=\mathrm{90}−\mathrm{66}=\mathrm{24} \\ $$$$\frac{\mathrm{sin}\:\mathrm{24}}{\mathrm{AF}}=\frac{\mathrm{sin}\:\mathrm{66}}{\mathrm{BF}}\:\:\:\:\mathrm{BF}=\mathrm{BD}+\mathrm{DF}=\mathrm{6}+\mathrm{DF} \\ $$$$\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 $${Find}\:{side}\:{s}\:{of}\:{equilateral}\:\bigtriangleup\:{in} \\ $$$${terms}\:{of}\:\lambda.\:{Radius}\:{is}\:{unity}. \\ $$ Answered by mr W…

Question Number 58493 by Tawa1 last updated on 23/Apr/19 Answered by math1967 last updated on 24/Apr/19 $${At}\:\mathrm{2}.\mathrm{00}{pm}\:{distance}\:{between}\:\mathrm{2}{cars} \\ $$$$=\mathrm{915}\:−\mathrm{75}=\mathrm{840}{km} \\ $$$${time}\:{taken}\:{both}\:{meet}=\frac{\mathrm{840}}{\mathrm{75}+\mathrm{100}}=\mathrm{4}\frac{\mathrm{4}}{\mathrm{5}}{hr} \\ $$$$\mathrm{2}{pm}+\mathrm{4}{hr}\mathrm{48}{m}=\mathrm{6}:\mathrm{48}{pm} \\ $$…

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