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Geometry

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name the integer values of x that form a triangle with 12-x, 12, 12+x

  • Geometry -

    Any side of a triangle must be positive:
    12-x>0
    x<12

    The sum of any two sides must be greater than the third. In this case,
    12-x + 12 > 12+x
    =>
    24-x > 12 + x
    =>
    x < 6

    Also,
    12+12+x > 12-x
    2x>-12
    x>-6

    Therefore the conditions are that
    -6<x<6

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