Question Number 39089 by ajfour last updated on 02/Jul/18 Commented by ajfour last updated on 02/Jul/18 $${Find}\:\:\frac{\boldsymbol{{a}}}{\boldsymbol{{b}}}\:\:{and}\:\boldsymbol{\theta}\:. \\ $$$${The}\:{curve}\:{is}\:{a}\:{semicircle}\:{and} \\ $$$${the}\:{two}\:{red}\:{segments}\:{are}\:{equal}. \\ $$ Answered by…
Question Number 170073 by mr W last updated on 15/May/22 Commented by mr W last updated on 15/May/22 $${Find}\:\mid{CD}\mid_{{min}} =?,\:\mid{CD}\mid_{{max}} =? \\ $$ Commented by…
Question Number 170014 by MaxiMaths last updated on 14/May/22 Answered by vietanhdz last updated on 14/May/22 $${it}\:{is}\:{Simson}\: \\ $$ Commented by greg_ed last updated on…
Question Number 170010 by mr W last updated on 13/May/22 Commented by mr W last updated on 13/May/22 $${Given}\:{a}\:{triangle}\:\Delta{ABC}\:{with}\:{sides} \\ $$$${a},{b},{c}. \\ $$$${Find}\:{the}\:{area}\:{of}\:{the}\:{inscribed}\:{triangle} \\ $$$${in}\:{terms}\:{of}\:{a},{b},{c},\theta.…
Question Number 104468 by ajfour last updated on 21/Jul/20 Commented by ajfour last updated on 21/Jul/20 $${Find}\:{r}\:{and}\:{hence}\:{area}\:{of}\:\bigtriangleup{ABC}\:{in} \\ $$$${terms}\:{of}\:{R}. \\ $$ Commented by mr W…
Question Number 104445 by ajfour last updated on 21/Jul/20 Commented by ajfour last updated on 21/Jul/20 $${The}\:{central}\:{circle}\:{has}\:{radius}\:{b}. \\ $$$${The}\:{three}\:{smallest}\:{circles}\:{have} \\ $$$${radii}\:{a},\:{wbile}\:{the}\:{outer}\:{circles} \\ $$$${have}\:{radii}\:{c}.\:{Find}\:{c}\:{in}\:{terms} \\ $$$${of}\:{b}\:{and}\:{a}\:{when}\:{it}\:{is}\:{in}\:{contact}…
Question Number 104411 by ajfour last updated on 21/Jul/20 Commented by ajfour last updated on 21/Jul/20 $${Relate}\:\boldsymbol{{a}},\boldsymbol{{b}},\boldsymbol{{c}}\:\left({when}\:{they}\:{r}\:{real}\right). \\ $$ Commented by mr W last updated…
Question Number 104390 by I want to learn more last updated on 21/Jul/20 Answered by som(math1967) last updated on 21/Jul/20 $$\frac{\mathrm{XP}}{\mathrm{PY}}=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\:\frac{\mathrm{XP}}{\mathrm{XY}}=\frac{\mathrm{2}}{\mathrm{5}} \\ $$$$\frac{\mathrm{Ar}\bigtriangleup\mathrm{XPQ}}{\mathrm{Ar}\bigtriangleup\mathrm{XYZ}}=\frac{\mathrm{4}}{\mathrm{25}}…
Question Number 169924 by amin96 last updated on 12/May/22 Commented by som(math1967) last updated on 12/May/22 $${Area}\:{of}\:\bigtriangleup{ABC}\:? \\ $$ Commented by mr W last updated…
Question Number 38849 by behi83417@gmail.com last updated on 30/Jun/18 Commented by behi83417@gmail.com last updated on 30/Jun/18 $$\:\boldsymbol{{raw}}\:\boldsymbol{{idea}}\:\boldsymbol{{to}}\:\boldsymbol{{mr}}\:\boldsymbol{{Ajfour}}! \\ $$$$\boldsymbol{{a}}^{\mathrm{2}} =\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{t}}^{\mathrm{2}} \:\:,\boldsymbol{{z}}=\boldsymbol{{c}}.\boldsymbol{{cos}\theta} \\ $$$$\boldsymbol{{b}}^{\mathrm{2}} =\boldsymbol{{x}}^{\mathrm{2}}…