Category: Geometry

Question Number 28464 by ajfour last updated on 26/Jan/18 Answered by mrW2 last updated on 26/Jan/18 $$eqn.ofellipse:$$$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$$$\frac{\mathrm{2}{x}}{{a}^{\mathrm{2}}…

Question Number 159392 by ajfour last updated on 16/Nov/21 Commented by ajfour last updated on 16/Nov/21 $$Findradiusofthecircles\left(equal\right).$$ Answered by mr W last updated…

Question Number 27959 by ajfour last updated on 17/Jan/18 Commented by ajfour last updated on 17/Jan/18 $$\text{You can't use 'macro parameter character \#' in math mode}$$ Commented by beh.i83417@gmail.com last updated on…

Question Number 159005 by Tawa11 last updated on 11/Nov/21 Answered by ajfour last updated on 12/Nov/21 $$s=2r\sin \alpha$$$$p=r\sin 2\alpha$$$$\cos \beta =\frac{35/2}{r}=\frac{7}{8};\sin \beta =\frac{\sqrt{15}}{8}$$$$\frac{\sin (90°-\alpha )}{27}=\frac{\sin (3\alpha +\beta )}{p}$$$$\mathrm{20sin}\:\mathrm{2}\alpha\mathrm{cos}\:\alpha=\mathrm{27sin}\:\left(\mathrm{3}\alpha+\beta\right)…

Question Number 158924 by ajfour last updated on 10/Nov/21 Commented by ajfour last updated on 10/Nov/21 $$a,b,careslantedgesofouter$$$$tetrahedron.Findminimum$$$$volumeofinnertetrahedron$$$$whoseverticeslieonfacesof$$$${outer}\:{one}\:{when}\:{the}\:{outer}\:{one}…