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

  • question_answer
    The area of an isosceles triangle is \[9c{{m}^{2}}\]. If the equal sides are \[6cm\]in length, the angle between them is[MP PET 1986]

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

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

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

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

    Correct Answer: B

    Solution :

    \[\Delta =\frac{1}{2}bc\sin A\Rightarrow 9=\frac{1}{2}.36\sin A\] Þ \[\sin A=\frac{1}{2}\Rightarrow A=\frac{\pi }{6}=30{}^\circ \].


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