Finding Side Length in Triangle Using Law of Sines

Consider triangle ABC where angle A measures $50^{\circ}$, angle B measures $70^{\circ}$, and side AC is 10 cm long. To find the length of side AB, you can use the Law of Sines, which states:

$$\f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C}$$

where $a$, $b$, and $c$ are the lengths of sides opposite angles A, B, and C, respectively. Using this information, determine the length of side AB.