Category: Geometry

Question Number 60647 by ajfour last updated on 23/May/19 Commented by ajfour last updated on 23/May/19 $$Findmaximumsidelengthofa$$$$squarecircumscribingarectangle$$$$withsidesaandb.$$ Commented by…

Question Number 126080 by ajfour last updated on 17/Dec/20 Commented by ajfour last updated on 18/Dec/20 $$Cylinderandspherehavethe$$$$sameradius.Anequilateral$$$$triangularplaterestsonsphere$$$$withtwoverticesagainstcurved$$$${surface}\:{of}\:{cylinder}\:{and}\:{top}\:{vertex}…

Question Number 60527 by ajfour last updated on 21/May/19 Commented by ajfour last updated on 21/May/19 $$\mathrm{Find}\mathrm{maximum}\mathrm{area}\mathrm{of}\mathrm{quadrilateral}$$$$\mathrm{OAPB}.\mathrm{The}\mathrm{ellipse}\mathrm{equation}\mathrm{is}\mathrm{the}$$$$\mathrm{usual}\mathrm{one}.$$ Answered by…

Question Number 126049 by fajri last updated on 16/Dec/20 $$$$$$\mathrm{if}\mathrm{in}\mathrm{triangle}\mathrm{AB}C,\mathrm{AD}\mathrm{is}\mathrm{a}\mathrm{bisector}\mathrm{of}$$$$\mathrm{an}g\mathrm{le}\mathrm{A}\mathrm{then}\mathrm{BD}:\mathrm{DC}=\mathrm{AB}:\mathrm{AC}$$$$\mathrm{investigate},\mathrm{is}\mathrm{the}\mathrm{statement}\mathrm{true}\mathrm{ore}$$$$\mathrm{fals}e?$$ Terms of Service Privacy Policy…

Question Number 191455 by Mingma last updated on 24/Apr/23 Answered by a.lgnaoui last updated on 25/Apr/23 $$△\mathrm{ANB}\mathrm{BM}\mathrm{\perp }\mathrm{AN}\mathrm{et}\measuredangle \mathrm{MBA}=\measuredangle \mathrm{MBN}$$$$\Rightarrow \mathrm{AB}=\mathrm{BN}=\frac{\mathbf{x}}{\cos \mathit{\theta }}\left(1\right)$$$$△\mathrm{PNC}\mathrm{PC}=3\mathrm{cm}$$$$\mathrm{BM}\mid \mid \mathrm{NP}\Rightarrow \measuredangle \mathrm{PNC}=\measuredangle \mathrm{MBN}=\theta =\measuredangle \mathrm{PCN}$$$$\:\Rightarrow\mathrm{NP}=\mathrm{PC}=\mathrm{3}…