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Thread: Triangle help?

  1. #1
    Apr 2009

    Triangle help?

    Word problem:

    The sides of a triangle have lengths x, x+4, and 20. Specify those values of x for which the triangle is acute with longest side 20.

    The answer is 12 < x <= 16. However, I don't know how to reach that answer.

    Thanks in advance.
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  2. #2
    Junior Member
    Sep 2008
    Wilmington NC
    the triangle inequality states a+b>c
    the sum of the 2 shorter sides must be greater than the 3rd longest

    (if their sum is shorter you wouldn't be able to create a triangle, if their sum is equal you would just have a line)

    consider that in an acute triangle all angles are less than 90 degrees
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