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} $ .