sine of half angle of a triangle

\[\sin \frac{A}{2}=\sqrt{\frac{(s-b)(s-c)}{bc}} \]

where A is the angle of triangle and s is semiperimeter which is equal to (a+b+c)/2

a , b ,c are the lenghts of triangle ABC

Note   that a is the side opposite to the angle A

                b is the side opposite to the angle B of the triangle

               c is the side opposite to the angle C of the triangle

For a=3 b=4 c=5  s=(a+b+c)/2 = 6

hence Sin(A/2)=0.316

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