I got this puzzle and would like to ask for your opinion. Is it possible to divide a rectangle into 3 identical triangles? If yes, how ? I couldn't do it. If no, why? Thanks. (this is a puzzle for fun!).
2026-05-06 07:01:58.1778050918
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Dividing a Rectangle into 3 Identical Triangles
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This Samuel Maltby paper shows that it is impossible to divide a rectangle into 3 identical pieces that are not rectangular.
Nope! In fact, we can say much more: Monsky's theorem states that you can't divide a parallelogram into an odd number of triangles of equal area. The nice thing about this result is that it applies to triangles having arbitrary angles.