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

  • question_answer
    The area of triangle \[ABC,\] in which \[a=1,\ b=2\], \[\angle C=60{}^\circ \]is      [MP PET 2004]

    A) \[\frac{1}{2}\]

    B) \[\sqrt{3}\]

    C) \[\frac{\sqrt{3}}{2}\]

    D) \[\frac{3}{2}\]

    Correct Answer: C

    Solution :

    We have, \[a=1,\,b=2,\,\angle C=60{}^\circ \] Area of triangle = \[\frac{1}{2}ab\sin C\] = \[\frac{1}{2}(1)\,(2)\,\sin 60{}^\circ =\frac{\sqrt{3}}{2}\].


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