Results 1 to 2 of 2

Thread: Triangles- Can you draw a line that intersects

  1. #1
    Newbie
    Joined
    Feb 2008
    Posts
    21

    Triangles- Can you draw a line that intersects

    Is it possible to draw a line that intersects exactly one side of a triangle(without passing through the vertex) Why or why not?

    Is it possible to draw a line that intersects exactly two sides of a triangle?
    Exactly 3 sides? Please explain.

    I do not think that you can draw a line that intersects exactly one side, but i think you can draw one that intersects exactly two sides. I don't think you can draw one that intersects 3 sides because it would not be a line in order to intersect all three.

    I am not sure about what i wrote. Could you please explain.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    20,433
    Thanks
    2313
    Awards
    1
    Quote Originally Posted by reagan3nc View Post
    Is it possible to draw a line that intersects exactly one side of a triangle(without passing through the vertex) Why or why not?
    Is it possible to draw a line that intersects exactly two sides of a triangle?
    Exactly 3 sides? Please explain.

    I do not think that you can draw a line that intersects exactly one side, but i think you can draw one that intersects exactly two sides. I don't think you can draw one that intersects 3 sides because it would not be a line in order to intersect all three.
    Your answers on the first two are correct.
    For the third question if the line includes a vertex and a point on the opposite side then the line intersects all three sides. However, if we exclude the any case in which the line may contain a vertex then the answer to the third question is no.
    The explanation for these can be deep in the axiomatics concerning the separation of a plane by a line.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Feb 24th 2011, 03:57 PM
  2. Replies: 1
    Last Post: Oct 6th 2010, 06:48 AM
  3. Replies: 2
    Last Post: Feb 14th 2010, 12:18 PM
  4. Replies: 1
    Last Post: Dec 6th 2008, 12:07 PM
  5. Where the line intersects the circle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Sep 18th 2008, 09:21 PM

Search Tags


/mathhelpforum @mathhelpforum