Category: Geometry

Question Number 162368 by mr W last updated on 29/Dec/21 Commented by mr W last updated on 29/Dec/21 $$findthesumofareaofallredcircles.$$ Commented by mr W…

Question Number 162209 by Tawa11 last updated on 27/Dec/21 Commented by Rasheed.Sindhi last updated on 27/Dec/21 $$\text{You can't use 'macro parameter character \#' in math mode}$$$$\mathrm{C}.65$$$$\text{You can't use 'macro parameter character \#' in math mode}$$$$\mathrm{Which}\mathrm{is}\alpha \mathrm{angle}\mathrm{in}\mathrm{the}\mathrm{diagram}?$$…

Question Number 162071 by mr W last updated on 26/Dec/21 Commented by mr W last updated on 27/Dec/21 $$ifthedistancesfromapointtothe$$$$verticesofatrianglearep,q,r$$$$respectively,findthemaximumarea$$$${of}\:{the}\:{triangle}\:{and}\:{its}\:{side}\:{lengthes}.…

Question Number 30862 by ajfour last updated on 27/Feb/18 Answered by mrW2 last updated on 27/Feb/18 $$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{1}{\lambda }=2R=\frac{abc}{2\sqrt{s(s-a)(s-b)(s-c)}}$$$$\frac{BQ}{\sin (C-\theta )}=\frac{CQ}{\sin \theta }=\frac{BC}{\sin (\pi -\theta -C+\theta )}$$$$\frac{BQ}{\sin (C-\theta )}=\frac{CQ}{\sin \theta }=\frac{a}{\sin C}$$$$\Rightarrow BQ=\frac{\sin (C-\theta )}{\sin C}\times a$$$$\Rightarrow{CQ}=\frac{\mathrm{sin}\:\theta}{\mathrm{sin}\:{C}}×{a}…

Question Number 30808 by 33 last updated on 26/Feb/18 Answered by mrW2 last updated on 26/Feb/18 Commented by mrW2 last updated on 26/Feb/18 $${x}_{\mathrm{1}} =\mathrm{2}{a}\:\mathrm{cos}\:\theta…