Answer
See below.
Work Step by Step
$B=180-26-35=119^\circ$.
Using the law of sines, $\frac{a}{\sin26^\circ}=\frac{13}{\sin119^\circ}\\b=\frac{13\sin26^\circ}{\sin119^\circ}\approx6.52$
$\frac{c}{\sin35^\circ}=\frac{13}{\sin119^\circ}\\c=\frac{13\sin35^\circ}{\sin119^\circ}\approx8.53$
