Trigonometric Equations Question 114
Question: In a $ \Delta ABC, $ if $ a=2x, $ $ b=2y $ and $ \angle C=120{}^\circ $ , then the area of the triangle is
[MP PET 1986, 2002]
Options:
A) $ xy $
B) $ xy\sqrt{3} $
C) $ 3xy $
D) $ 2xy $
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Answer:
Correct Answer: B
Solution:
- $ \Delta =\frac{1}{2}ab\sin C=\frac{1}{2}\times 2x\times 2y\times \frac{\sqrt{3}}{2}=xy\sqrt{3} $ .