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

  • question_answer
    Sides of a triangle are \[2cm,\sqrt{6}\,cm\] and \[(\sqrt{3}+1)cm\]. The smallest angle of the triangle is

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

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

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

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

    Correct Answer: B

    Solution :

    \[a=2,b=\sqrt{6},c=\sqrt{3}+1\] \ \[\cos A=\frac{6+3+1+2\sqrt{3}-4}{2\sqrt{6}(\sqrt{3}+1)}\Rightarrow A={{45}^{o}}\].


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