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I What is the maximum triangle?

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  1. Jun 24, 2017 #1
    I know that if a triangle have it edge // to each orther then it í the maximum triangle.

    Pls explain i dont understand hơ thí even possible
     
  2. jcsd
  3. Jun 24, 2017 #2
    i wanna ask question but where should i enter
    ??
     
  4. Jun 24, 2017 #3
    well go on tho the category you want to ask and click the

    Post New Thread

    <Moderator's note: Link removed, for it otherwise would have led to General Physics only.>
     
    Last edited by a moderator: Jun 24, 2017
  5. Jun 24, 2017 #4

    fresh_42

    Staff: Mentor

    With parallel sides, it isn't a triangle anymore. Except you're not using Euclidean geometry. So a) where are the triangles defined on, and b) what does "maximal" mean: circumference, area, one angle, a side?
     
  6. Jun 24, 2017 #5
    it's some type of geometry that i dont remember the name
     
  7. Jun 24, 2017 #6
    it's called Lobachevshy-Bolyai geometry
     
  8. Jun 24, 2017 #7
    or sometime called Hyperbolic geometry
     
  9. Jun 24, 2017 #8

    fresh_42

    Staff: Mentor

    You simply apply the hyperbolic axiom:

    For any given line R and point P not on R, in the plane containing both line R and point P
    there are at least two distinct lines through P that do not intersect R.


    This is a given fact. So with two points on R, and a point P, not on R, we have three different points which define a triangle. And the two lines through P with the line R are parallel and the sides of the triangle. (Not quite sure about the sides.)

    What maximal means, still depends on your measure.
     
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