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

  • question_answer
    If \[A={{30}^{o}},c=7\sqrt{3}\]and \[C={{90}^{o}}\]in \[\Delta ABC\], then a =

    A) \[7\sqrt{3}\]

    B) \[\frac{7\sqrt{3}}{2}\]

    C) \[\frac{7}{2}\]

    D) None of these

    Correct Answer: B

    Solution :

    Since \[C={{90}^{o}}\] Hence\[a=\frac{c\sin A}{\sin C}=\frac{7\sqrt{3}\sin {{30}^{o}}}{\sin 90{}^\circ }=\frac{7\sqrt{3}}{2}\].


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