Pythagorean Theorem Puzzle #3
thingiverse
I discovered three videos showcasing visual proofs of the Pythagorean Theorem, which I chose to incorporate into my classes. These videos impress me because they rely strictly on visuals, devoid of any audio explanation. Once my students grasp how these proofs work, they must explain them in writing or on video. I developed this puzzle and two others to complement the videos. The video for this puzzle is available at https://youtu.be/LyGmcLSvJg8. Instructions are clear: everything is ready to print. I created separate files to ensure that parts could be printed in the same colors as in the video. To accommodate the puzzle frame, I scaled down the puzzle pieces to 97% of their original size. Building on a right triangle with dimensions 3 cm by 4 cm by 5 cm allowed for interchangeable pieces among puzzles. Unfortunately, this approach means that the videos' differing sizes resulted in slight visual discrepancies between puzzles. This particular puzzle has more pieces than my other Pythagorean Theorem puzzles and features additional triangles, as well as two frame components that fit together snugly (printing these components separately resolved an issue with attempting to print them as a single piece with my 3D printer).
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