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There are more than 300 proofs of the Pythagorean Theorem.A President of the United States provided an algebraic proof of the Pythagorean Theorem. Who is he?

Question

There are more than 300 proofs of the Pythagorean Theorem.

A President of the United States provided an algebraic proof of the Pythagorean Theorem. Who is he?

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Solution

The President of the United States who provided an algebraic proof of the Pythagorean Theorem is President James A. Garfield. In 1876, while still a congressman, Garfield published a proof that is notable for its algebraic approach. His proof utilizes a trapezoid and basic geometric principles to establish the relationship a2+b2=c2 a^2 + b^2 = c^2 , where c c represents the hypotenuse of a right triangle, and a a and b b represent the other two sides. This proof stands out not only because of its elegance but also because it highlights the intersection of mathematics and governance during his lifetime. Garfield's contribution is a fascinating piece of trivia concerning the history of both mathematics and American politics.

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