Pythagorean Triples Ashley Walker MAT126 Bridget Simmons November 28‚ 2011 A Pythagorean triple is a triple of positive integers a‚ b‚ and c such that a right triangle exists with legs a‚ b‚ and hypotenuse c (Bluman‚ 2005). A Pythagorean triple is a triple of positive integers (a‚ b‚ c) where a2 + b2 = c2. A triple is simply a right triangle whose sides are positive integers. An easy way to generate Pythagorean triples is to multiply any known Pythagorean triple by an integer (any integer)
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Pythagorean Triples To begin you must understand the Pythagoras theorem is an equation of a2 + b2 = c2. This simply means that the sum of the areas of the two squares formed along the two small sides of a right angled triangle equals the area of the square formed along the longest. Let a‚ b‚ and c be the three sides of a right angled triangle. To define‚ a right angled triangle is a triangle in which any one of the angles is equal to 90 degrees. The longest side of the right angled triangle
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Pythagorean Triples Tammie Strohl MAT 126 David Gualco November 9‚ 2009 Pythagorean Triples Pythagorean Theorem states that the sum of the areas of the two squares formed along the two small sides of a right angled triangle equals the area of the square formed along the longest.  If a‚ b‚ and c are positive integers‚ they are together called Pythagorean Triples. The smallest such Pythagorean Triple is 3‚ 4 and 5. It can be seen that 32 + 42 = 52 (9+16=25). Here are some examples:
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sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. 2. After building your triples‚ verify each of them in the Pythagorean Theorem equation. Exercise #4: The numbers 3‚ 4‚ and 5 are called Pythagorean triples since 32+42=52. The numbers 5‚ 12‚ and 13 are also Pythagorean triples since 52+122=132. Can you find any other Pythagorean triples? Actually‚ there is a set of formulas that will generate an infinite number
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! ! Bernie&Ecclestone’s&Formula&for&Formula&One& ! ! Formula!One!motor!racing!!(F1)!is!big!business.!!From!the!first!Grand!Prix!in!1906!it!was!able!to! generate!excitement!among!fans!and!media.!!But!it!is!only!since!its!reinvention!in!the!1980s!that! the!sport!has!been!able!to!generate!a!commensurate!level!of!excitement!among!business! observers.!!! ! F1!is!one!of!the!worlds!most!popular!–!and!profitable!–!sports.!!It!thrills!a!television!audience!of! over!500!million!fans!per!year!who
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JANUARY MANAGEMENT OF TECHNOLOGY ASSIGNMENT #3 BERNIE ECCLESTONE’S FORMULA FOR FORMULA ONE UNIVERSITY OF SOUTHERN DENMARK 2013 JANUARY 1 VIRÁG SZOMORA EXAM NR.: 319595 2013 JANUARY „They say Formula One is a market which it can’t be‚ obviously. Our market is independent‚ it’s a sport.” (Bernie Ecclestone) Formula One is one of the biggest businesses in the world since the 1980s. The motor racing sport itself is more than a century old‚ and through these years it carried out‚ survived
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Available online at www.sciencedirect.com European Journal of Operational Research 186 (2008) 1059–1067 www.elsevier.com/locate/ejor Decision Support An efficient and simple model for multiple criteria supplier selection problem Wan Lung Ng * Department of Management Sciences‚ City University of Hong Kong‚ 83 Tat Chee Avenue‚ Kowloon Tong‚ Hong Kong Received 16 December 2005; accepted 8 January 2007 Available online 20 February 2007 Abstract Simply looking for vendors offering the lowest prices
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Pythagorean Theorem Diana Lorance MAT126 Dan Urbanski March 3‚ 2013 Pythagorean Theorem In this paper we are going to look at a problem that can be seen in the “Projects” section on page 620 of the Math in our World text. The problem discusses Pythagorean triples and asks if you can find more Pythagorean triples than the two that are listed which are (3‚4‚ and 5) and (5‚12‚ and 13) (Bluman‚ 2012). The Pythagorean theorem states that for any right triangle‚ the sum of the squares of the length
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How We Use the Pythagorean Theorem in Everyday Life First‚ let’s discuss the inventor of the theorem before how we use it. Pythagoras of Samos is a very odd fellow but is very well known despite not have written anything in his lifetime so what we know about him comes from Historians and Philosophers. Though we know he was a Greek philosopher and mathematician mainly known for the Pythagorean Theorem that we all learned in 6th grade. (a2 + b2 = c2). His theorem states that that the square of
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KAIZEN in Formula One? Situation: Toyota is the largest carmaker in the world. On April 2007 it overtook the US giant automaker GM for the first time. So‚ what is the problem then? Since Toyota joined the Formula One in 2002 it has never won a race or ended a season in better than fourth place. Toyota F1 team is a top spender in this industry‚ with around $500m a year‚ but cannot beat Ferrari and McLaren. This gives hard time to Toyota’s chiefs‚ who are not familiar with the situation of not
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