Answer
See below.
Work Step by Step
$A=180-100-34=46^\circ$.
Using the law of sines, $\frac{a}{\sin46^\circ}=\frac{8}{\sin34^\circ}\\a=\frac{8\sin46^\circ}{\sin34^\circ}\approx10.29$
$\frac{c}{\sin100^\circ}=\frac{8}{\sin34^\circ}\\c=\frac{8\sin100^\circ}{\sin34^\circ}\approx14.09$
