In a \( \quad \triangle \mathrm{ABC} \) if \( 2 s=a+b+c \quad \) and \( (s-b)(s-c)=x \sin ^{2} \....

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In a \( \quad \triangle \mathrm{ABC} \) if \( 2 s=a+b+c \quad \) and \( (s-b)(s-c)=x \sin ^{2} \frac{A}{2} \), then \( x= \)
(1) \( \mathrm{bc} \)
(2) \( \mathrm{ca} \)
(3) \( \mathrm{ab} \)
(4) \( a b c \)


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