Question Number 37209 by ajfour last updated on 10/Jun/18
Commented by ajfour last updated on 11/Jun/18
$${Find}\:{the}\:{circumradius}\:\boldsymbol{{R}}\:{of}\:{the} \\ $$$${three}\:{circles}\:\left({of}\:{radii}\:{a},{b},\:{c}\right)\:{in} \\ $$$${terms}\:{of}\:\boldsymbol{{a}},\boldsymbol{{b}}\:. \\ $$$${Also}\:{given}\:\boldsymbol{{c}}=\frac{\boldsymbol{{a}}+\boldsymbol{{b}}}{\mathrm{2}}\:. \\ $$
Commented by MJS last updated on 10/Jun/18
$$\mathrm{it}'\mathrm{s}\:\mathrm{not}\:\mathrm{always}\:\mathrm{possible}.\:\mathrm{the}\:\mathrm{circumcircle} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\:\mathrm{or}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{touching} \\ $$$$\mathrm{the}\:\mathrm{three}\:\mathrm{given}\:\mathrm{circles}\:\mathrm{from}\:\mathrm{ourside}\:\mathrm{without} \\ $$$$\mathrm{including}\:\mathrm{them}.\:\mathrm{just}\:\mathrm{imagine}\:{a}\:\mathrm{getting}\:\mathrm{smaller} \\ $$$$\mathrm{in}\:\mathrm{your}\:\mathrm{picture} \\ $$
Commented by ajfour last updated on 11/Jun/18
$${I}\:{have}\:{edited}\:{the}\:{question},\:{Sir}. \\ $$
Answered by MJS last updated on 16/Jun/18
