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Math Help - Perimeter of an equilateral triangle

  1. #1
    Member Veronica1999's Avatar
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    Perimeter of an equilateral triangle

    The perimeter of an equilateral triangle exceeds the perimeter of a square by 1989cm. The length of each side of the triangle exceeds the length of each side of the square by d cm. The square has perimter greater than 0. How many positive integers are not possible values for d?

    t for side of triangle s for side of square

    3t = 4s + 1989

    t - s = d

    t= s +d

    3s + 3d = 4s + 1989

    3d = s + 1989
    d = s/3 + 663

    it doesn't seem to make sense.

    Pls help.
    Last edited by Veronica1999; February 8th 2011 at 12:53 PM.
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by Veronica1999 View Post
    The perimeter of an equilateral triangle exceeds the perimeter of a square by 1989cm. The length of each side of the triangle exceeds the length of each side of the square by d cm. The square has perimter greater than 0. How many positive integers are not possible values for d?

    t for side of triangle s for side of square

    3t = 4s + 1989

    t - s = d

    t= s +d

    3s + 3d = 4s + 1989

    3d = s + 1989
    d = s/3 + 663

    it doesn't seem to make sense.

    Pls help.
    \displaystyle d=\frac{s}{3}+663

    \displaystyle s>0 \implies d>663

    663 positive integers are not possible values for d. They are: 1, 2, 3, ... , 663.
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