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Line Division (Posted on 2014-08-10) Difficulty: 3 of 5
Given a square piece of paper ABCD.

Using paper folding alone, construct a line segment having the length equal to one-sixth of AB.

No Solution Yet Submitted by K Sengupta    
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Solution Fold sequence Comment 1 of 1
1. Fold so AB goes onto CD.  Let the endpoints of the fold be E and F, with E on AD and F on BC.  E and F are the midpoints of AD and BC.

2. Fold along the lines BD and AF.  Call their point of intersection G.  Point G will be 1/3 of the way in from side AB and BC.

3. Fold parallel to AD/BC so that the fold includes G.  Let H be the intersection of this fold and EF.  GH is then 1/6 AB.

  Posted by Brian Smith on 2016-12-18 15:27:30
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