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

  • question_answer
    The angles of a triangle are in the ratio \[1:3:5\], then the greatest angle is   [Kerala (Engg.) 2002]

    A) \[5\pi /9\]

    B) \[2\pi /9\]

    C) \[7\pi /9\]

    D) \[11\pi /9\]

    Correct Answer: A

    Solution :

    Let \[x+3x+5x={{180}^{o}}\] Þ  \[9x={{180}^{o}}\]Þ  \[x={{20}^{o}}=\frac{\pi }{9}\] \[\therefore \] Greatest angle is \[\frac{5\pi }{9}.\]


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