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Folded Square

Age 14 to 16 Short Challenge Level:

This 8 cm by 8 cm square of paper has been folded so that the corner at B lies exactly on top of E, the midpoint of CD. The dotted line shows the crease left by this fold.

How far from A does the dotted line reach the side AB?

This problem is taken from 1000 Problems to Enjoy
You can find more short problems, arranged by curriculum topic, in our short problems collection.