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M4005 Geometry

Cutting and Pasting the Square Root of 2
Let s stand for the square root of 2. Suppose you have two sheets of paper. One measures s vetically and 1 horizontally. (This is the brown one in the picture, below). The other measures 1 vetically and s horizontally. (This is the green one, which has been placed on top of the brown one.)
Problem: Cut the green sheet and move the pieces without rotating them to cover the brown sheet.
Solution: We will try to do this with horizontal and vertical cuts.

Continue solution.