\(\frac {\sin A}{a} = \frac {\sin B}{b} = \frac {\sin C}{c}\)

\(\implies \frac {\sin 82^0}{43.2} = \frac {\sin 56^0}{AB}\)

\(\implies AB \times \sin 82^0 = 43.2 \times \sin 56^0\)

\(\therefore AB = \frac {43.2 \times \sin 56^0}{\sin 82^0}\) = 36.2cm (to 3 s.f)