Category: Geometry

Question Number 209932 by cherokeesay last updated on 26/Jul/24 Answered by mahdipoor last updated on 26/Jul/24 $${BD}^{\mathrm{2}} =\mathrm{100}+\mathrm{49}−\mathrm{140}{cosC}=\mathrm{121}+\mathrm{64}−\mathrm{176}{cosA} \\ $$$$\frac{{BD}}{{sinC}}=\frac{{BD}}{{sinA}}=\mathrm{2}{R}\:\Rightarrow{C}+{A}=\mathrm{180} \\ $$$$\Rightarrow\mathrm{149}−\mathrm{140}{cosC}=\mathrm{185}−\mathrm{176}{cosA} \\ $$$$\Rightarrow{cosC}=\frac{\mathrm{185}−\mathrm{149}}{−\mathrm{176}−\mathrm{140}}=−\frac{\mathrm{9}}{\mathrm{79}} \\…

Question Number 209913 by mr W last updated on 25/Jul/24 Commented by mr W last updated on 25/Jul/24 $${AB}\:{is}\:{diameter},\:{CD}\:{is}\:{tangent}.\: \\ $$$${AE}={ED},\:{AB}//{CD} \\ $$$${find}\:{angle}\:{x}=? \\ $$…

Question Number 209813 by mr W last updated on 22/Jul/24 Answered by mahdipoor last updated on 22/Jul/24 $${R}=\:{radius}\:{red}\:{circle} \\ $$$${r}\:=\:{radius}\:{white}\:{circle} \\ $$$$\begin{cases}{\mathrm{2}{R}=\mathrm{8}+\mathrm{2}+\mathrm{2}{r}}\\{{C}_{\mathrm{1}} {C}_{\mathrm{2}} =\sqrt{{r}^{\mathrm{2}} +\left({R}−\left({r}+\mathrm{2}\right)\right)^{\mathrm{2}}…

Question Number 209637 by mr W last updated on 17/Jul/24 Commented by mr W last updated on 17/Jul/24 $${find}\:{minimum}\:{of}\:{AB}+{BC}+{CD}=? \\ $$ Commented by Frix last…

Question Number 209495 by Tawa11 last updated on 11/Jul/24 Commented by Tawa11 last updated on 11/Jul/24 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{missing}\:\mathrm{angle}\:\left(\mathrm{the}\:\mathrm{red}\right) \\ $$ Answered by mr W last updated…