Category: Geometry

Question Number 166520 by ajfour last updated on 21/Feb/22 Commented by ajfour last updated on 21/Feb/22 $${If}\:{the}\:{circles}\:{have}\:{radii}\:{a},{b},{c} \\ $$$$\:{find}\:{maximum}\:{side}\:{length}\:{of} \\ $$$${such}\:{an}\:{equilateral}\:{triangle}. \\ $$ Commented by…

Question Number 35390 by ajfour last updated on 18/May/18 Commented by ajfour last updated on 18/May/18 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{ABC}. \\ $$$${The}\:{ellipse}\:{equation}\:{is}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}\:. \\ $$…

Question Number 166442 by cortano1 last updated on 20/Feb/22 Answered by bobhans last updated on 20/Feb/22 $$\mathrm{x}=\mathrm{12}° \\ $$ Answered by som(math1967) last updated on…

Question Number 166371 by behi834171 last updated on 19/Feb/22 Commented by mr W last updated on 19/Feb/22 $${i}\:{don}'{t}\:{think}\:{we}\:{can}\:{determine}\:{the} \\ $$$${angle}\:{only}\:{with}\:{the}\:{two}\:{given}\: \\ $$$${conditions},\:{see}\:{diagram}\:{below}.\:\: \\ $$ Commented…

Question Number 35279 by ajfour last updated on 17/May/18 Commented by ajfour last updated on 17/May/18 $${Given}\:{two}\:{circles}\:{of}\:{radii}\:\boldsymbol{{r}}\:{and}\:\boldsymbol{{R}}. \\ $$$${The}\:{circles}\:{touch}\:{each}\:{other} \\ $$$${internally}.\:{Triangle}\:{ABC}\:{has} \\ $$$${its}\:{vertex}\:\boldsymbol{{A}}\:{at}\:{the}\:{point}\:{where} \\ $$$${the}\:{circles}\:{touch}.\:{Vertex}\:\boldsymbol{{B}}\:{lies}…