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9th Class Mathematics Heron's Formula Question Bank Heron's Formula

  • question_answer
    The perimeter of a triangular field is 144 m and the ratio of its sides is 3 :4 :5. Find the area of the field.

    A)  864 sq. m        

    B)  764 sq. m        

    C)  854 sq. m        

    D)  754 sq. m        

    Correct Answer: A

    Solution :

    Let the length of the sides be \[3x,4x,5x\]meters. \[\Rightarrow \]\[144=12x\Rightarrow x=12\] \[\therefore \]Sides of the triangular field are 3 6m, 48m, 60 m. \[\Delta =\sqrt{72(72-36)(72-48)(72-60)}\] \[=864\,sq.\,m.\]


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