![Image](https://i.postimg.cc/rzfHQGtQ/Q2.png)
In the given figure, \(BD=6\) and \(DC=4\). If angle \(BAD=30^o\) and angle \(ADC=120^o\), find the area of the triangle \(ADC\).
A. \(6\sqrt{3} \text{ cm}^{2}\)
B. \(8\sqrt{3} \text{ cm}^{2}\)
C. \(10\sqrt{3} \text{ cm}^{2}\)
D. \(12\sqrt{3} \text{ cm}^{2}\)
E. \(18\sqrt{3} \text{ cm}^{2}\)
OA D