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July 12th, 2013, 05:19 AM  #1 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  divide a parallelogram
ABCD is a parallelogram, please construct two lines (passing through point A). and divide the area of the parallelogram into three equal parts 
July 12th, 2013, 07:17 AM  #2 
Senior Member Joined: Mar 2012 From: Belgium Posts: 654 Thanks: 11  Re: divide a parallelogram
This means we have to trisect a line?

July 12th, 2013, 08:03 AM  #3 
Senior Member Joined: Mar 2012 From: Belgium Posts: 654 Thanks: 11  Re: divide a parallelogram
Solution: Trisect BC and CD. he points the closest to C are the points we need. connect them with A and you have your 3 equal parts. How to trisect a line: http://www.youtube.com/watch?v=2EGO6przl1k How to construct parallel lines: (needed to construct the trisection) http://www.youtube.com/watch?v=EKL_3xppHcQ 
July 12th, 2013, 10:16 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,406 Thanks: 829  Re: divide a parallelogram Code: A B V D U C a = AD = BC, b = AB = CD, u = DU, v = CV u = 2b/3, v = a/3 The 2 lines are AU and AV (of course) Triangle ADU = triangle ABV = quadrilateral AVCU Same as Jellytine's :P 
July 13th, 2013, 01:41 AM  #5 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: divide a parallelogram
Yes, you got it 

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