Pythagorean Triple

Pythagorean Triple - 1 Pythagorean Triple Bethany Fargher...

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1 Pythagorean Triple Bethany Fargher Instructor Layla Hedayat MAT126: Survey of Mathematical Methods July 25, 2011

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2 Pythagorean Triple A Pythagorean triple is a set of three positive integers which satisfy the Pythagorean equation (A2 + B2 = C2). To 'satisfy' an equation means that the values can be substituted into the equation and the equation remains true. The smallest of the Pythagorean triples is (3, 4, 5). To verify that this triple is a Pythagorean triple, substitute the numbers into the Pythagorean equation: 32 + 42 = 52. Now simplify the exponents: 9 + 16 = 25. Finally, simplify the addition: 25 = 25. Since the equation 25 = 25 is true, (3, 4, 5) qualifies as a Pythagorean triple. Euclid’s formula for generating Pythagorean triples. It is: A = 2mn, B = m2- n2, and C = m2+ n2, where m and n are any positive integers such that m > n, A and B are the lengths of the legs of the right triangle, and C is the length of the hypotenuse of the right triangle. Equation(s) and Descriptions
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This note was uploaded on 08/24/2011 for the course ENG 225 taught by Professor Richardbair during the Spring '10 term at Ashford University.

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Pythagorean Triple - 1 Pythagorean Triple Bethany Fargher...

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