Quad Parks

 The Problem:

 A public park has 4 straight roads as its boundaries. These roads are not at any special angle to each other; neither are they the same length as each other. 

Paths go across the park from the midpoints of each side to the midpoints of the other 3 sides.

 It seems unlikely, but what shape do you think these paths form?!

 Can you prove it?


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Last modified: June 18, 2007