Paper Folding

 ABCD is an 8 cm square of paper. E is the mid-point of DC. The paper is folded over and creased, so that corner B lies exactly on top of point E. The paper is now opened out again, revealing a crease (the line shown dotted, below)

  The Problem : 

Where does this crease cross the side AD ?

 Corner A is now folded over to lie on top of point E instead. When opened out, the two creases cross directly above E how high above the centre ?

 

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Last modified: June 18, 2007