Math 126 Week 4

Who created the most popular system of the Pythagorean triads? MAT126: Survey of mathematical Methods Instructor:  Kevin Kuznia July 23, 2012 Who created the most prevalent method of the Pythagorean three-baggers? Pythagorean triplexs have been said to have been around for many thousands of diachronic period and through those years it has been developed and redeveloped to create a simpler re firmness power to and age old problem solving equation. However the move still stands who did create the most general formula for Pythagorean Triples? We must first understand what a Pythagorean Triple really is to decide who created the most general solution. A Pythagorean Triple is a set of overconfident integers, a, b and c that fits the rule: a2 + b2 = c2. One of the easiest ways to begin Pythagorean Triples is to regurgitate any cognize Pythagorean Triple by an integer. The avocation Pythagorean Triples investigates this equation. I will dele ctation the sides of a tercet as 3,4,5 and thusly(prenominal) after each one I will master them by victimisation the Pythagorean Theorem equation.

1) Multiply by 2 = 6,8,10 A) 6² + 8² = 10² = 100 2) Multiply by 3 = 9,12,15 A) 9² + 12² = 15² = 225 3) Multiply by 4 = 12,16,20 A) 12² + 16² = 20² = 400 I will use the sides of a common chord as 5,12,13 and then after each one I will assure them by development the Pythagorean Theorem equation. Sides of a known triple: 5,12,13 4) Multiply by 2 = 10,24,26 A) 10² + 24² = 26² = 676 5) Multiply by 3 = 15,36,39 A) 15² + 36² = 39² = 1 521 . The Pythagorean Triples 6, 8, 10; 9,! 12, 15; 12, 16, 20; 10, 24, 26; 15, 36, 39 are the results of taking an already known Pythagorean Triple and multiplying it by some integer. I selected this method because it was the fastest and easiest way to produce multiple Pythagorean Triples. date there are different formulas for creating these Pythagorean Triples it is my opinion that using the formula by Euclid is the most general...If you want to get a full essay, army it on our website: OrderEssay.net

If you want to get a full information about our service, visit our page: How it works.