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

  • A
    $\frac{1}{2}$
  • B
    $\sqrt{3}$
  • C
    $\frac{\sqrt{3}}{2}$
  • D
    $\frac{3}{2}$

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