Characterization of Pythagorean Triples in the Root 2 Field Extension of the Rational Numbers
Item
Title
Characterization of Pythagorean Triples in the Root 2 Field Extension of the Rational Numbers
Description
In high school, every geometry student learns the Pythagorean Theorem, which states that a triangle ABC with sides a, b, and c is a right triangle if and only if a^2 + b^2 = c^2. A Pythagorean triple is a triple of three positive integers (a, b, c) that satisfies the Pythagorean Theorem and all Pythagorean triples can be both generated and characterized with one formula. In this talk, we will characterize Pythagorean triples in the root 2 field extension of the rational numbers and compare those triples with Pythagorean triples in the integers.
Vincent Ferlini
Contributor
Keene State College
Creator
Brooke M. Hatanaka
Date
2017-10-11
Identifier
http://hdl.handle.net/20.500.12088/8078
Subject
Mathematics
Type
Presentation
Rights
http://rightsstatements.org/vocab/InC/1.0/