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Explore a 14-minute video that presents an elegant, simple proof of the Pythagorean theorem using just one altitude and basic similarity arguments. Learn why this straightforward demonstration might be overlooked in school mathematics in favor of Euclid's classic proof or other variations involving dissections. The video walks through the simplest proof step-by-step, discusses why Euclid might not have used this approach, examines the historical Greek mathematical perspective, and considers why this elegant proof isn't commonly taught in classrooms. Perfect for geometry enthusiasts looking to deepen their understanding of this fundamental mathematical theorem through a clear, concise demonstration that differs from standard textbook approaches.