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November 13th, 2010, 01:32 PM  #1 
Senior Member Joined: Apr 2009 Posts: 106 Thanks: 0  Similar Triangles III
Two medians of a triangle intersect at a point that divides each median into two segments with length ratio 2:1. Use this to prove that the three medians of a triangle are concurrent.

November 13th, 2010, 11:05 PM  #2 
Senior Member Joined: Apr 2008 Posts: 435 Thanks: 0  Re: Similar Triangles III
I see you have posted three similar triangle problems. If you show your progress, I can help you along the way.

November 14th, 2010, 08:51 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,432 Thanks: 1462 
Assume the longer segments connect the medians' point of intersection to two vertices of the triangle.


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