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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
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
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