In triangle $ABC$, angle $A$ is $30^\circ$ and $C$ is a right angle.
The length of side $a$ is 8, as shown. Find the lengths of the other sides:
$b =$ , and $c =$ .

Give the exact answers, but you may not use 'sin', 'cos', or 'tan'. Use 'sqrt(3)' or '3^(.5)' for $\sqrt{3}$.