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Hatesmondays
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Cool ways to use the Pythagorean Theorem
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The discussion centers on the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. Participants explore various applications and proofs of the theorem, noting its relevance in fields such as photography, where it helps determine the "normal" lens based on sensor dimensions. The theorem's versatility extends to multiple dimensions and even infinite dimensions, as indicated by the generalized formula. Additionally, the theorem is applied in electrical engineering, particularly in calculating the relationship between real, reactive, and apparent power, emphasizing its practical utility. The conversation also touches on the existence of numerous proofs, including one attributed to President James Garfield, and the potential for establishing limits on the number of distinct proofs. Some participants humorously engage in the idea of disproving established mathematical truths, showcasing a playful side to the discussion. Overall, the Pythagorean Theorem is highlighted as a foundational concept with broad applications across various disciplines.
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