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Pell's Equation and nearly equilateral triangles


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/11086

Pell's Equation and nearly equilateral triangles

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Title: Pell's Equation and nearly equilateral triangles
Author: Christensen, Laurel
Advisor(s): Stone, Alexander
Committee Member(s): Umland, Kristin
Lorenz, Jens
Department: University of New Mexico. Dept. of Mathematics and Statistics
Subject: Pell's Equation
LC Subject(s): Triangle.
Pell's equation.
Degree Level: Masters
Abstract: In this paper, we seek a family of triangles that have integer sides and integer area. We focus mainly on scalene triangles since it is impossible to have such triangles that are equilateral and isoceles triangles with these properties are fairly simple to construct. We restrict the scalene triangles we study to Nearly Equilateral Triangles which have consecutive integer sides. In the process of constructing this family, we find an application of Pell's Equation. We follow this with a few other interesting notes on Pell's Equation.
Graduation Date: July 2010
URI: http://hdl.handle.net/1928/11086

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