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Homework Help: Area of a Triangle Word Problem

  1. Feb 7, 2012 #1


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    1. The problem statement, all variables and given/known data
    If the height of a triangle is five centimeters less than the length of its base and if the area of the triangle is 52 cm^2, find the base and the height.

    2. Relevant equations

    3. The attempt at a solution
    height = h-5
    base = h







    h=13 or h=-8

    h=-8 is extraneous; therefore the base is 13 and the height is 8.

    This is Grade 9 review and I don't think my teacher would include a problem using the quadratic equation. Is there an easier solution to this problem?
    Last edited: Feb 7, 2012
  2. jcsd
  3. Feb 7, 2012 #2


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    Homework Helper

    There's always guess-and-check, I suppose...

    I'm not sure why you don't think your teacher would include a problem using the quadratic equation. If we assume that Grade 9 = Algebra I (in the US), then sure, solving quadratic equations by factoring is an Algebra I topic.
  4. Feb 7, 2012 #3


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    In Canada, the Grade 9 curriculum involves linear equations.

    EDIT: I suppose there is guess-and-check. Using a quadratic equation is the only way to algebraically solve the problem.

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