Answer
$a \approx 11$ cm
Work Step by Step
1. Solve for the angle $C$
$C + 48 + 54 = 180$
$C + 102 = 180$
$C = 78˚$
2. Solve for $c$
$\frac{a}{sin(52)} = \frac{14}{sin(78)}$
$a = \frac{14sin(52)}{sin(78)}$
$a = \frac{11.03...}{0.978...}$
by GDC / calculator
$a = 11.2786...$ cm
$a \approx 11$ cm