Answer: RS = 6 cm and ST = \(6\sqrt{3}\) cm
\(\triangle RST\) is a \(30^\circ\)–\(60^\circ\)–\(90^\circ\) triangle with hypotenuse RT = 12 cm (\(\angle R = 60^\circ\)).
Side opposite \(30^\circ\) (\(\angle T\)):
\[RS = \frac{1}{2} \times 12 = 6\ \text{cm}\]Side opposite \(60^\circ\) (\(\angle R\)):
\[ST = \frac{\sqrt{3}}{2} \times 12 = 6\sqrt{3}\ \text{cm}\]