Pythagorean Triples and Theorem Equation Constance anteroom Lindemann Survey of Mathematical Methods instructor: David Gualco January 20, 2012 The Pythagorean Theorem comprises a magnate triangle, its hypotenuse c and other ii billets a and b. within this study I will all(a)ow several spokespersons of and describe the stairs taken to find Pythagorean Triples and using the examples found in the text on knave 559 item 10-9. To understand Pythagorean Triples you must first sleuth that this is expressed as a^2 + b^2 = c^2 within math circle. What is the Pythagorean Theorem? The Pythagorean Theorem comprises a the castigate way triangle, its hypotenuse c and other 2 sides a and b. It then has a right triangle, an triangle which has a nonpargonil 90-degree angle. An example of an right angle could be seen as the shoetree of a piece of paper. The hypotenuse will be the longest side of the triangle. The Pythagorean Theorem states that the squ atomic number 18 of the hypotenuse in right triangle is friction ascertain to the sum of the squares of the other two sides. This is expressed as a^2 + b^2 = c^2. (Weisstien, 2011) 13 40 Pythagorean triangles are right triangles in which all three sides are integers. A Pythagorean triple is a triple of positive integers a, b and c such that a right triangle exists with legs a, b and c hypotenuse.
An example would be: 95 5 5 41 12 5, 12, 13 9, 40, 41 52 + 122 = 13292 + 402 = 412 25 + 144 = 169 81 + 1600 = 1681 By using the Pythagorean Theorem, you deprivation to find the equivalent for decision positive integers a, b and c satisfying a2 + b2 = c2. The smallest and best-known Pythagorean triple is (a, b, c) = (3, 4, 5). The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. Who was Pythagoras? Pythagoras was a classic mathematician and philosopher, in the sixth century B.C., Pythagoras created the Pythagorean Theorem, which is used in geometry, this theorem is grievous when working with right triangles....If you essential to get a bountiful essay, order it on our website:
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