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

  • question_answer
    If the sides of a triangle are in the ratio \[2:\sqrt{6}:(\sqrt{3}+1)\], then the largest angle of the triangle will be [MP PET 1990]

    A) \[{{60}^{o}}\]

    B) \[{{75}^{o}}\]

    C) \[{{90}^{o}}\]

    D) \[{{120}^{o}}\]

    Correct Answer: B

    Solution :

    \[\cos \theta =\frac{4+6-{{(\sqrt{3}+1)}^{2}}}{2.2.\sqrt{6}}\Rightarrow \theta ={{75}^{o}}\].


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