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Week four Assignment

# Week four Assignment - PYTHAGOREAN TRIPLES 1 Week Four...

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PYTHAGOREAN TRIPLES 1 Week Four Assignment: Pythagorean Triples Leonard Owings MAT126: Survey of Mathematical Methods Layla Hedayat 08/20/2011

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PYTHAGOREAN TRIPLES 2 Week Four Assignment: Pythagorean Triples A Pythagorean triple consists of three positive numbers like 3, 4, and 5 because when 3, 4 are squared and then added together they equal 5 squared. The Pythagorean Theorem state a right triangle legs a & b combined squared sum is equal to the length of hypotenuse. When expressed in a equation its looks like this a 2 + b 2 = c 2 . Making sure I generate at least five Pythagorean Triples I used Euclid’s formula where m and n are positive integers and m > n. a = m 2 - n 2 , b=2mn, c = m 2 + n 2 Pythagorean triples: 1) m= 3, n= 5 a) a = 2mn = 2*4*3 = 36 b) b= m2 - n2 = 42 – 32 = 160 c) c= m2 + n2 = 42 + 3 2 = 164 A. Let us check [16, 30, 34]is a Pythagorean triple or not by using Pythagorean Theorem I. a^2 + b^2 = 24^2 + 7^2 = 625 II. c^2 = 25^2 = 625 III. Since a^2 + b^2 = c^2 so (24, 7, 25) is a Pythagorean triple.
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Week four Assignment - PYTHAGOREAN TRIPLES 1 Week Four...

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