Question Number 47697 by ajfour last updated on 13/Nov/18
Commented by ajfour last updated on 13/Nov/18
$${The}\:{blue}\:{sphere}\:{touches}\:{the} \\ $$$${xy},\:{yz},\:{zx},\:{and}\:{the}\:{triangular} \\ $$$${plate},\:{while}\:{the}\:{smaller}\:{pink} \\ $$$${sphere}\:{touches}\:{the}\:{yz},\:{zx},\:{larger} \\ $$$${sphere},\:{and}\:{the}\:{triangular}\:{plate}. \\ $$$${Find}\:{their}\:{radii}\:\boldsymbol{{R}},\:{and}\:\boldsymbol{{r}}\:{in}\:{terms} \\ $$$${of}\:\boldsymbol{{a}},\boldsymbol{{b}},{and}\:\boldsymbol{{c}}. \\ $$
Answered by ajfour last updated on 13/Nov/18