Category: Geometry

Question Number 194815 by universe last updated on 16/Jul/23 Answered by sniper237 last updated on 16/Jul/23 $${Incenter}\:{of}\:\:\angle{ABC}\:\:\:{is}\:\:{bar}\left\{\left({A},{a}\right),\left({B},{b}\right),\left({C},{c}\right)\right\} \\ $$$${meaning}\:\:{aI}\overset{\rightarrow} {{A}}+{bI}\overset{\rightarrow} {{B}}+{cI}\overset{\rightarrow} {{C}}=\overset{\rightarrow} {\mathrm{0}}\:\:\:\left(\ast\right) \\ $$$${hence}\:\:{aI}'\overset{\rightarrow}…

Question Number 194564 by a.lgnaoui last updated on 10/Jul/23 $$\mathrm{soit}\:\:\:\boldsymbol{\mathrm{A}}\left(\mathrm{2},\mathrm{1}\right)\:\:\:\:\:\boldsymbol{\mathrm{B}}\left(\mathrm{3},\mathrm{2}\right)\:\:\:\:\:\boldsymbol{\mathrm{C}}\left(\mathrm{4},\mathrm{3}\right)\:\:\mathrm{points}\:\mathrm{du}\: \\ $$$$\:\:\mathrm{plan}\left(\:\mathrm{ox},\mathrm{oy}\right)\:\: \\ $$$$ \\ $$$$\left.\:\mathrm{1}\right)\mathrm{Determiner}\:\:\mathrm{l}\:'\:\mathrm{equation}\:\mathrm{du}\:\mathrm{cercle}\:\mathrm{qui}\: \\ $$$$\:\:\:\:\mathrm{passe}\:\mathrm{par}\:\boldsymbol{\mathrm{A}};\:\boldsymbol{\mathrm{B}};\:\boldsymbol{\mathrm{C}}\:\:\:? \\ $$$$\left.\:\:\mathrm{2}\right)\:\mathrm{points}\:\mathrm{d}\:\mathrm{intersection}\:\mathrm{du}\:\mathrm{cercle}\:\mathrm{avec} \\ $$$$\:\:\:\:\:\mathrm{l}\:\mathrm{axe}\left(\mathrm{ox},\mathrm{oy}\right)? \\ $$ Answered…

Question Number 194270 by Tawa11 last updated on 01/Jul/23 Commented by mr W last updated on 02/Jul/23 $${R}:{r}=\mathrm{3}:\mathrm{2} \\ $$ Answered by mr W last…

Question Number 194240 by cherokeesay last updated on 01/Jul/23 Answered by BaliramKumar last updated on 01/Jul/23 $$\mathrm{28}\:\checkmark \\ $$ Answered by a.lgnaoui last updated on…

Question Number 194029 by Rupesh123 last updated on 26/Jun/23 Commented by Rupesh123 last updated on 26/Jun/23 Perfect �� Answered by Subhi last updated on 26/Jun/23 $${AD}\:=\:\sqrt{\mathrm{2}{Q}^{\mathrm{2}}…