question_answer

If a, b, c are the sides and A, B, C are the angles of a triangle \[ABC\], then \[\tan \left( \frac{A}{2} \right)\]is equal to [MP PET 1994]

A) \[\sqrt{\frac{(s-c)(s-a)}{s(s-b)}}\]

B) \[\sqrt{\frac{(s-b)(s-c)}{s(s-a)}}\]

C) \[\sqrt{\frac{(s-a)(s-b)}{s(s-c)}}\]

D)  \[\sqrt{\frac{(s-a)s}{(s-b)(s-c)}}\]