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

  • question_answer
    If the lengths of the sides of a triangle be \[7,4\sqrt{3}\] and \[\sqrt{13}\]cm, then the smallest angle is [MNR 1985]

    A) \[{{15}^{o}}\]

    B) \[{{30}^{o}}\]

    C) \[60{}^\circ \]

    D) \[{{45}^{o}}\]

    Correct Answer: B

    Solution :

    \[\cos \theta =\frac{49+16.3-13}{2.7.4\sqrt{3}}\Rightarrow \theta ={{30}^{o}}\].


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