Category: Geometry

Question Number 211235 by behi834171 last updated on 01/Sep/24 Commented by behi834171 last updated on 01/Sep/24 $$\mathrm{\angle }\mathit{A}\mathit{B}\mathit{C};isgiven.$$$$\mathit{D};isapointasitshowen,and$$$$\mathit{D}\mathit{G}\mathrm{\&}\mathit{D}\mathit{F};aredistanceof:\mathit{D},from:$$$$\mathit{A}\mathit{B}\mathrm{\&}\mathit{B}\mathit{C},suchthat:\frac{\mathit{D}\mathit{G}}{\mathit{D}\mathit{F}}=\mathit{k}\left(\mathit{c}\mathit{o}\mathit{n}\mathit{s}\mathit{t}\mathit{a}\mathit{n}\mathit{t}\right)$$$$\boldsymbol{{find}}\:\:\boldsymbol{{the}}\:\:\boldsymbol{{locus}}\:\boldsymbol{{of}}:\:\boldsymbol{{D}}\:.…

Question Number 211167 by cherokeesay last updated on 30/Aug/24 Commented by Frix last updated on 30/Aug/24 $$12$$ Answered by som(math1967) last updated on…

Question Number 211145 by mr W last updated on 29/Aug/24 Commented by mr W last updated on 30/Aug/24 $$thanks!butithinkpeopleknow$$$$whatiexactlymean.$$ Commented by…

Question Number 211127 by behi834171 last updated on 28/Aug/24 $$$$Two circles are assumed that have the same center. How many circles are there…

Question Number 211079 by Ari last updated on 27/Aug/24 Answered by A5T last updated on 27/Aug/24 $$SupposeDB\mathrm{\perp }AC$$$$A_2=\frac{DB\times AB}{2}=63;A_1=\frac{EA\times AB}{2}=144$$$$\frac{{A}_{\mathrm{2}} }{{A}_{\mathrm{1}} }=\frac{\mathrm{63}}{\mathrm{144}}=\frac{{DB}}{{EA}}=\frac{\mathrm{7}}{\mathrm{16}}\Rightarrow\frac{{A}_{\mathrm{3}}…