Pythagorean Triple Corliss Davis MAT126: Survey of Mathematical Methods (GSO1210F) Instructor: P.Martin Fenlon 4/2/2012 Pythagorean Triple A "Pythagorean Triple" is an array of a positive or negative whole number or zero, a, b and c that is accordance with the rule: And if you draw a triangle and label the sides a, b and c this will make it a right angle triangle. Ever triangle obtains a right angle. a2 + b2 = c2 The lowest set of the Pythagorean
History of the Pythagorean Triples The three sides of a right triangle always fit the form of a²+b²=c² with c being the length of the hypotenuse. This fact was named after Pythagoras (570-495 BC) and called the Pythagorean Theorem and has been proven over and over again over the years since. A set of numbers that fit the form are called a “Pythagorean Triple.” There are literally hundreds of proofs of the Pythagorean Theorem. In her 1968 book, “The Pythagorean Proposition,” Elisha Scott
Pythagorean Triples Carly Ayers MAT126: Survey of Mathematical Methods Professor Colleen Radke November 5, 2012 Pythagorean Triples Often described as the first pure mathematician, Pythagoras of Samos was a pre-Socratic Greek philosopher, who founded, perhaps, one of the most important mathematical theorems, although, he shared no written historical documents. The Pythagorean Theorem, a relation among the sides of a right triangle, states: “The area of the square built upon the hypotenuse
Methods Week 4 Pythagorean Triples The term Pythagorean triples is derived from the Pythagorean Theorem[i] where the formula to figure out the sides of a right triangle is constant with a2 + b2 = c2. The exception to the triples is that all sides will be positive integers[ii]. I will show you 5 examples of the Pythagorean Triples. Remembering that all your numbers need to be a positive integer, you can’t use just any numbers into the equations. The equation is set up as a2 +
Pythagorean Triples 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 of Pythagorean triples. Research the topic of Pythagorean triples and write a brief report on the subject. A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2 + b2
Pythagorean Theorem We all learned the Pythagorean theorem in math class, a2 + b2=c2, but not many people know what it means and why is it important. The Pythagorean theorem is one of the most important theorems in math because it can be applied to multiple subjects. The Pythagorean theorem can be used in algebra, geometry, trigonometry and many other math subjects. The Pythagorean theorem is one of the oldest theorems in math. It has been used for thousands of years, dating back to 500 B.C. The
Pythagorean Theorem: Finding Treasure Patricia Diggs MAT 221 Introduction to Algebra Instructor Bridget Simmons May 12, 2013 Pythagorean Theorem: Finding Treasure In this paper I will attempt to use the Pythagorean Theorem to solve the problem which reads Ahmed has half of a treasure map which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk
Step By Step Examples of Using the Pythagorean Theorem Example 1 (solving for the hypotenuse) Use the Pythagorean theorem to determine the length of X | | Step 1) Identify the legs and the hypotenuse of the right triangle. | The legs have length '6 and '8' . 'X' is the hypotenuse because it is opposite the right angle. See Picture | The hypotenuse is red in the diagram below: Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) | A2 + B2 = C2 62 + 82 = X2
Week 4 Pythagorean Theorem - Solving Pythagorean Triples The Pythagorean Theorem is one of the earliest theorems known to ancient civilizations. It was named for the Greek mathematician and philosopher, Pythagoras, who founded the Pythagorean School of Mathematics in Cortona, which is a seaport in southern Italy. The Pythagorean Theorem is one of Pythagoras’ most famous mathematical contribution to the world. The Pythagorean Theorem is a statement about triangles containing a right angle.
Pythagorean Triples Jessica Scallions 1-30-11 MAT 126 Tracy Abram Pythagorean Triples In order to understand Pythagorean Triples, we must first understand what a Pythagorean Theorem is. The Pythagorean Theorem states that for any right triangle, the sum of the squares of the length of the legs of a right triangle is equal to the square of the length of the hypotenuse (the side opposite the right triangle) (Bluman, 2005 p.471). If a, b, and c are positive integers, they are together