Category: Geometry

Question Number 48676 by Tawa1 last updated on 27/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Nov/18 $$sumofinternalanglesofnsidedpolygonis$$$$(n-2)\times {180}^o$$$$so$$$$120+110+2x+30=(5-2)\times 180$$$$\mathrm{2}{x}=\mathrm{540}−\mathrm{260}…

Question Number 48638 by mr W last updated on 26/Nov/18 Commented by mr W last updated on 26/Nov/18 $$FindthelocusofPsuchthatPO$$$$isthebisectorof\mathrm{\angle }APB.$$ Commented by…

Question Number 48611 by Tawa1 last updated on 25/Nov/18 Answered by mr W last updated on 26/Nov/18 $$r_1,r_2=radiiofthetwobiggercircles$$$$r_3=radiusofthesmallestcircle$$$$\sqrt{\left({r}_{\mathrm{1}}…

Question Number 48567 by behi83417@gmail.com last updated on 25/Nov/18 Commented by behi83417@gmail.com last updated on 25/Nov/18 $$\mathbf{square}\mathbf{side}=1,\mathbf{G}:\mathbf{center}\mathbf{of}\mathbf{square}.$$$$\mathbf{circle}\mathbf{passes}\mathbf{from}:\mathbf{G},\mathbf{F},\mathbf{E}.$$$$\measuredangle \mathbf{GHE}={120}^{\bullet }$$$$\Rightarrow \mathbf{area}\mathbf{of}:\mathbf{GHEF}=?$$…

Question Number 179609 by Acem last updated on 31/Oct/22 Answered by mr W last updated on 31/Oct/22 $$\mathit{M}\mathit{e}\mathit{t}\mathit{h}\mathit{o}\mathit{d}\mathit{I}$$$$\frac{\sin x}{2\sin 15°}=\frac{\sin (x+15°)}{1}=\frac{\sin x\cos 15°+\cos x\sin 15°}{1}$$$$\sin 30°+\frac{2{\sin }^{2}15°}{\tan x}=1$$$$\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{30}°}{\mathrm{tan}\:\gamma}=\frac{\mathrm{1}}{\mathrm{2}}…