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02/22 |
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 continued: We need to cut the green sheet and
translate the pieces to cover the brown. |
Continue solution. |