Math

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Two sides of a triangle measure 14 and 10. If A is the set of possible lengths for the third side, how many elements of A are integers?

Is the correct answer 19 elements of A are integers?

  • Math -

    let the third side be x

    The sum of any two sides must be greater than the third side

    x+14 > 10 or
    x > -4, but x must be positive, so x> 0 DUHH!

    AND

    x+10 > 14
    x > 4

    AND

    10+14 > x
    x < 14 --------> 4 < x < 14

    so x has to be 5, 6, 7 , .... 13
    I count 9

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