Re: Challenge: Triangles puzzle

Discussion in 'C++' started by Paul Lutus, Oct 18, 2004.

  1. Paul Lutus

    Paul Lutus Guest

    Mikael Brockman wrote:

    > Jim Newton <> writes:
    >
    >> > hmm...
    >> > What are you talking about?
    >> > A triangle with an area equal to zero doesn't exist. A triangle has
    >> > three angles and none of them may be equal to zero, otherwise you
    >> > just don't have a triangle.
    >> > What you describe with P0 -> P8 -> P5 -> P0 is a segment of a line
    >> > not a triangle...
    >> >

    >>
    >> no, you are wrong. an angle may have zero degrees, or less than zero
    >> degrees or more than zero degrees.
    >>
    >> the sum of the angles in a triangle is 180 degrees. and a 0, 0, 180
    >> triangle is still a triangle.

    >
    > You're wrong. The triangle inequality states that the sum of two
    > triangles sides exceeds the other side.


    Actually, it is "equals or exceeds". A three-sided polygon with sides 3, 4
    and 7 is a degenerate triangle, but it is a triangle.

    http://www.fact-index.com/t/tr/triangle_inequality.html

    "In mathematics, the triangle inequality is a statement which states roughly
    that the distance from A to B to C is never shorter than going directly
    from A to C. "

    Note that it says "never shorter than ...". Not "always longer than ...".

    > Zero is not a side in any
    > triangle.


    True, but not the present issue. The problem appears to be the case of
    angles of 0,0,180 and nonzero sides a + b = c.

    --
    Paul Lutus
    http://www.arachnoid.com
    Paul Lutus, Oct 18, 2004
    #1
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