Trigonometric Equations Question 235

Question: The area of triangle $ ABC, $ in which $ a=1,\ b=2 $ , $ \angle C=60{}^\circ $ is

[MP PET 2004]

Options:

A) $ \frac{1}{2} $

B) $ \sqrt{3} $

C) $ \frac{\sqrt{3}}{2} $

D) $ \frac{3}{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • We have, $ a=1,,b=2,,\angle C=60{}^\circ $ Area of triangle = $ \frac{1}{2}ab\sin C $ = $ \frac{1}{2}(1),(2),\sin 60{}^\circ =\frac{\sqrt{3}}{2} $ .