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

  • question_answer
    We are given b, c and \[\sin B\] such that B is acute and \[b<c\sin B\]. Then [Karnataka CET 1993]

    A) No triangle is possible

    B) One triangle is possible

    C) Two triangles are possible

    D) A right angled triangle is possible

    Correct Answer: A

    Solution :

    \[\frac{\sin B}{b}=\frac{\sin C}{c}\] Þ \[\sin C=\frac{c}{b}\sin B>1\] \[(\because b<c\sin B)\],which is impossible. Hence no triangle is possible.


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