Folded square

This square piece of paper has been folded and creased. Where does the crease meet the side AD?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



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.

Image
Folded Square


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