Publication Date

9-3-2010

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.

Degree Name

Mathematics

Level of Degree

Masters

Department Name

Mathematics & Statistics

First Advisor

Stone, Alexander

First Committee Member (Chair)

Umland, Kristin

Second Committee Member

Lorenz, Jens

Language

English

Keywords

Triangle, Pell's equation.

Document Type

Thesis

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