Consider a triangle ABC for which $\angle A =104^\circ, \; a=31, \; b=12 . \;$
If such a triangle can not exist, then write NONE in each answer box. If there could be more than one such triangle, then enter dimensions for the one with the smallest value for side $c . \;$ Finally, if there is a unique triangle ABC, then enter its dimensions.
$\angle B$ is degrees;
$\angle C$ is degrees;
$c=$ ;