The Disappearing Tile
In the picture above are two triangles made up of 2 sets of blocks. Each set is identical. In the top figure, the triangle fills one-half of a rectangle that is 13 units by 5 units, as you can see by the numbers along two sides of the triangle. By rearranging the pieces the way you see in the lower figure, we end up with one empty square. Both triangles are 5x13, and both are made up of the exact same cut out shapes. Feel free to print a copy of this page and cut out the shapes for yourself if you don't believe it.
Where did the extra tile go?
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