Posted by Brad Paul on September 02, 2002 at 16:13:16:
In Reply to: Triangle Inequality Essay posted by Kirby on September 02, 2002 at 15:57:48:
: Here's the question:
: "Explain in general how the Triangle Inequality might be applied in order to determine whether 3 points are collinear. Back up your explanation with a specific application."
: I have no clue. Any help?
Imagine a triangle with an area greater than zero. Now push one vertex
onto the opposite side. At this point the "triangle" has zero area,
the vertexes are collinear, and the Triangle Inequality is satisfied with
an equality.