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

  • question_answer
    If \[b=3,c=4\]and \[B=\frac{\pi }{3}\], then the number of triangle that can be constructed is               [Roorkee 1992]

    A) Infinite

    B) Two

    C) One

    D) Nil

    Correct Answer: D

    Solution :

    Hence \[c\sin B=4\sin \frac{\pi }{3}=2\sqrt{3}>b(=3)\] Thus, we have\[b<c\sin B\]. Hence no triangle is possible i.e., the number of triangles that can be constructed is nil.


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