Explain the Pythagorean Theorem, its proofs and applications.
200 to 500 words
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Answer:
Explain the Pythagorean Theorem , its proofs and applications.
Requirements
• Between 200 - 500 words • Must be free of plagiarism Proper grammar and no spelling mistakes
At least one example of correct use of all of the following :
• Commas . Colons • Semicolons • Exclamations • Quote Marks • Apostrophes • Parentheses • Dashes • Hyphens
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
Euclid's Proof that there are Infinitely Many Pythagorean Triples. But Euclid used a different reasoning to prove the set of Pythagorean Triples is unending. The proof was based on the fact that the difference of the squares of any two consecutive (one after the other) numbers is always an odd number.
The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.
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