In the given figure, \(BD = 6\) and \(DC =4.\) If angle \(BAD = 30^{\circ}\) and angle \(ADC = 120^{\circ},\) find the

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In the given figure, \(BD = 6\) and \(DC =4.\) If angle \(BAD = 30^{\circ}\) and angle \(ADC = 120^{\circ},\) find the area of the triangle \(ADC.\)

a. \(6\sqrt3 \, \text{cm}^2\)
b. \(8\sqrt3 \, \text{cm}^2\)
c. \(10\sqrt3 \, \text{cm}^2\)
d. \(12\sqrt3 \, \text{cm}^2\)
e. \(18\sqrt3 \, \text{cm}^2\)

Answer: D

Source: e-GMAT
Source: — Problem Solving |