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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    If in\[\Delta ABC,\sin \frac{A}{2}\sin \frac{C}{2}=\sin \frac{B}{2}\]and\[2s\]is the perimeter of the triangle, then\[s\]is

    A)  2b         

    B)  b

    C)  3b                         

    D)         4b

    E)  3b/2

    Correct Answer: A

    Solution :

                   Given that, \[\sin \frac{A}{2}\sin \frac{C}{2}=\sin \frac{B}{2}\] \[\sqrt{\frac{(s-b)(s-c)}{bc}}\sqrt{\frac{(s-a)(s-b)}{ab}}\]                                 \[=\sqrt{\frac{(s-a)(s-c)}{ac}}\] \[\Rightarrow \] \[\frac{s-b}{b}=1\]\[\Rightarrow \] \[s=2b\]     


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