Answer: RS = 6 cm, ST = \(6\sqrt{3}\) cm
In right-angled Δ RST, ∠S = 90º and ∠T = 30º, so ∠R = 60º; the triangle is a 30º–60º–90º triangle with hypotenuse RT = 12 cm.
Side opposite 30º = \(\dfrac{1}{2}\) × hypotenuse: RS = \(\dfrac{1}{2} \times 12\) = 6 cm.
Side opposite 60º = \(\dfrac{\sqrt{3}}{2}\) × hypotenuse: ST = \(\dfrac{\sqrt{3}}{2} \times 12\) = \(6\sqrt{3}\) cm (≈ 10.39 cm).