Results 1 to 2 of 2

Math Help - centriod of trianlge

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    9

    centriod of trianlge

    Hi everybody

    Show that the centroid of a triangle coincides with that of the triangle formed by the mid points of the sides.

    Thank you all
    Sridhar
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,232
    Thanks
    1795
    For a triangle, the centriod is just the "average" of the vertices. That is, if the vertices are (x_1, y_1), (x_2, y_2), and (x_3, y_3), in some coordinate system, then the centroid is at \left(\frac{x_1+ x_2+ x_3}{3}, \frac{y_1+ y_2+ y_3}{3}\right).

    Of course, the midpoints of the sides are \left(\frac{x_1+ x_2}{2}, \frac{y_1+ y_2}{2}\right), \left(\frac{x_2+ x_3}{2}, \frac{y_2+ y_3}{2}\right), and \left(\frac{x_1+ x_3}{2}, \frac{y_1+ y_3}{2}\right). Use the formula above to find the centroid of that triangle.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove for trianlge ABC
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: February 25th 2010, 01:44 AM
  2. Centriod Theorem Problem
    Posted in the Geometry Forum
    Replies: 1
    Last Post: July 24th 2009, 12:37 AM
  3. Center/centriod of polygon
    Posted in the Geometry Forum
    Replies: 3
    Last Post: February 11th 2009, 10:50 PM
  4. How to draw an isosceles trianlge
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: May 23rd 2006, 01:22 AM
  5. Fun with the right trianlge.
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 24th 2006, 11:42 AM

Search Tags


/mathhelpforum @mathhelpforum