Question Number 67749 by TawaTawa last updated on 31/Aug/19
Answered by JDamian last updated on 31/Aug/19
$${Assuming}\:{A},\:{B}\:{and}\:{C}\:{points}\:{are}\:{the}\:{centers} \\ $$$${of}\:{their}\:{circles}: \\ $$$$ \\ $$$${AC}={R}_{{A}} −{R}_{{C}} =\mathrm{11}−\mathrm{5}=\mathrm{6} \\ $$$${BC}={R}_{{B}} +{R}_{{C}} =\mathrm{6}+\mathrm{5}=\mathrm{11}={R}_{{A}} \\ $$
Commented by TawaTawa last updated on 31/Aug/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$