Albion College Mathematics and Computer Science Colloquium

Title: Grade School Triangles and Ailles' Rectangle
Speaker:Jack Calcut
Assistant Professor
Department of Mathematics
Oberlin College
Oberlin, Ohio
Abstract: In grade school, students learn a standard set of Euclidean triangles. Among this set, the usual 45-45-90 and 30-60-90 triangles are the only right triangles with rational angles and side lengths each containing at most one square root. Are there any other such right triangles? We answer this question and present an elegant complement, called Ailles' rectangle, that deserves to be in every geometry teacher's toolkit.
Location: Palenske 227
Time: 3:10

author  = "{Jack Calcut}",
title   = "{Grade School Triangles and Ailles' Rectangle}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{7 October}",
year    = "{2010}"