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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    In \[\Delta ABC,\]if \[a=16,b=24\] and \[c=20,\]then \[\cos \frac{B}{2}=\] [MP PET 1988]

    A) 3/4

    B) 1/4

    C) 1/2

    D) 1/3

    Correct Answer: A

    Solution :

    \[2s=a+b+c\]; \[\cos \frac{B}{2}=\sqrt{\frac{30\times 6}{320}}=\frac{3}{4}\].


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