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A triangle has sides x,x+7 , x+ 8. The value of x must fall between what boundaries to make this an obtuse triangle?

  • geometry -

    any side of a triangle is less than the sum of the other two sides.

    x < x+7 + x+8
    -15 < x
    no problem there

    x+7 < x + x+8
    -1 < x
    no problem there

    x+8 < x + x+7
    1 < x

    so, as long as x is at least 1, the three values could form a triangle.

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