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

  • question_answer
    The ratios of the sides in a triangle are 5: 12: 13 and its area is 270 square cm. The sides of the triangle in cm are [MP PET 1989]

    A) 5, 12, 13

    B) 10, 24, 26

    C) 15, 36, 39

    D) 20, 48, 52

    Correct Answer: C

    Solution :

    Let sides be \[5x,\,12x,\,13x\].  Obviously the triangle is right angled. Hence \[\Delta =\frac{1}{2}\,(12x)\,(5x)\Rightarrow 30{{x}^{2}}=270\Rightarrow x=3\] Hence sides are 15, 36, 39.


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