Category: Geometry

Question Number 145573 by mnjuly1970 last updated on 06/Jul/21 Answered by Olaf_Thorendsen last updated on 06/Jul/21 $$p=halfperimeter$$$$p=\frac{1}{2}(1+2r+2+2r+3+2r)=3(r+1)$$$$p-a=3(r+1)-(1+2r)=r+2$$$$p-b=3(r+1)-(2+2r)=r+1$$$${p}−{c}\:=\:\mathrm{3}\left({r}+\mathrm{1}\right)−\left(\mathrm{3}+\mathrm{2}{r}\right)\:=\:{r}…

Question Number 80015 by mr W last updated on 30/Jan/20 Commented by mr W last updated on 30/Jan/20 $$1.Provethatbothequilaterialtriangles$$$$toucheachotherinthesquareasshown.$$$$\mathrm{2}.\:{Find}\:{r}_{\mathrm{1}} /{r}_{\mathrm{2}} \…

Question Number 14364 by RasheedSindhi last updated on 31/May/17 $$\text{You can't use 'macro parameter character \#' in math mode}$$$${\mathrm{x}}^2+{\mathrm{y}}^2-\mathrm{xy}={\mathrm{a}}^2$$$${\mathrm{y}}^2+{\mathrm{z}}^2-\mathrm{yz}={\mathrm{b}}^2$$$${\mathrm{z}}^2+{\mathrm{x}}^2-\mathrm{zx}={\mathrm{c}}^2$$$$\mathrm{Pl}\:\mathrm{discuss}\:\mathrm{also}\:\mathrm{geometrical}/ \…

Question Number 145379 by ajfour last updated on 04/Jul/21 Commented by ajfour last updated on 04/Jul/21 $$Theinnercircleshaveunitradii.$$$$Findradiusofoutercircle.$$ Answered by mr W…

Question Number 79794 by mr W last updated on 28/Jan/20 Commented by mr W last updated on 28/Jan/20 $$Findtheradiioftwocircles\left(ifexist\right)$$$$whichtoucheachotherandtouchthe$$$$parabolaandthey-axisrespectively.$$…