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The Berlin papyrus 6619, a papyrus from the Middle Kingdom Egyptian, contains a problem with a solution that suggests there was some knowledge of the Pythagorean Theorem, though the papyrus only shows the solving of two equations.
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The Mesopotamian Tablet, Plimpton 322, contains columns of many writings (numbers) that resemble what are now known as Pythagorean Triples.
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Buadhayana, an Indian mathematician, was the author of the oldest Sulba Sutra which included a list of Pythagorean Triples discovered through algebra. As well as a statement of the Pythagorean Theorem and the Pythagorean Theorem used for a isosceles right triangle with a geometric proof.
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Pythagoras is born. He is the man who would be credited with the discovery of the Pythagorean Theorem later in his lifetime.
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The Pythagorean Theorem is published in a book for the first time. That book is called Euclid's Elements.
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The "square method" is a great way to use the Pythagorean Theorem today to help you solve for a missing leg or the hypotenuse.
https://www.youtube.com/watch?v=8EKUVmx4-OY