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Basic geometry question regarding hexagons.

  1. Aug 4, 2010 #1
    I'm trying to figure out how to find the longest diameter of any irregular hexagon with 3 different sets of sides. Each side is the same in length as the side opposite it, and different in length to both sides beside it. Any help?
  2. jcsd
  3. Aug 4, 2010 #2
    Err, I should note that I know *how* to find it, and that what I can't seem to figure out is how to put it into a formula, with 3 variables representing the 3 sets of sides.
  4. Aug 6, 2010 #3
    Is the largest possible diameter not half the perimeter, using a degenerate hexagon?

    Or is there something you haven't told us, say, regarding the angles?
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