sinAa=sinBb=sinCc\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}asinA=bsinB=csinC
→sin82∘43.2=sin56∘AB\rightarrow \frac{\sin 82^{\circ}}{43.2} = \frac{\sin 56^{\circ}}{AB}→43.2sin82∘=ABsin56∘
→AB×sin82∘=43.2×sin56∘\rightarrow AB \times \sin 82^{\circ} = 43.2 \times \sin 56^{\circ}→AB×sin82∘=43.2×sin56∘
∴AB=43.2×sin56∘sin82∘\therefore AB = \frac{43.2 \times \sin 56^{\circ}}{\sin 82^{\circ}}∴AB=sin82∘43.2×sin56∘ = 36.2cm (to 3 s.f)
