If in a triangle $ABC$,$a=2$,$b=3$ and $c=4$,then $\tan \left(\frac{A}{2}\right) = $

  • A
    $\sqrt{\frac{3}{15}}$
  • B
    $\sqrt{\frac{4}{15}}$
  • C
    $\sqrt{\frac{2}{15}}$
  • D
    $\sqrt{\frac{1}{15}}$

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