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MATH

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THE BASE AND HEIGHT OF A TRIANGLE ARE IN THE RATIO 5:3. IF THE AREA OF THE TRIANGLE IS 67.5 SQUARE METRE; FIND ITS BASE AND HEIGHT.

  • MATH - ,

    let the base be 5x and the height 3x ,
    area of triangle = (1/2)base x height
    (1/2)(5x)(3x) = 67.5
    35x^2 = 135
    x^2 = 9
    x = √9 = 3

    so base is 5x = 15
    height is 3x = 9


    check:
    15 : 9 = 5 : 3
    (1/2)(15)(9) = 67.5

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