geometry

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the area of a triangle is 147 square inches and its height is 1.5 times its base. find the base and the height of the trianle.

  • geometry -

    let the base be x
    then the height is 3x/2

    (1/2)(3x/2)(x) = 147
    x^2 = 196
    x = √196 = 14

    so base is 14
    height = 21

    check: (1/2)(14)(21) = 147

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