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Divide in Half (Posted on 2014-03-07) Difficulty: 3 of 5

  
Given a convex quadrilateral. Construct, with straight-edge and
compass, a line parallel to one of the sides of the quadrilateral
that divides the area of the quadrilateral in half.
  

See The Solution Submitted by Bractals    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Response to Solution | Comment 1 of 6

Playing around with GSP I have not found
a quadrilateral configuration that fails
both constructions in Case III.

If you can find a quadrilateral configuration
that fails both constructions please reply to 
this post ( give |AB|, |BC|, |CD|, |DA|, and 
angle BAD ). 

If you can give a proof why one of the two
constructions must succeed it would be great.

  Posted by Bractals on 2014-03-17 19:39:38
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