Characterizing Parallelograms with Sides and Diagonals Having Integer Lengths

Item

Title

Characterizing Parallelograms with Sides and Diagonals Having Integer Lengths

Description

David F. Putnam Science Center, Room 102

A perfect parallelogram is defined as a parallelogram whose sides and diagonals are positive integers. We first look at three separate cases one of which is a general parallelogram where the sides and diagonals satisfy the parallelogram equation. The second case is a perfect rational parallelogram where the sides and diagonals are positive rational numbers. Then the third case is a perfect parallelogram. The use of up to scaling on each of the above parallelograms is used to make the observation that all perfect parallelograms have a parameterization. We then look at the special case of each of the above in which a perfect rectangle is obtained.

Vincent Ferlini

Contributor

Keene State College

Creator

Amanda R. Petrow

Date

2016-04-09

Identifier

https://commons.keene.edu/s/KSCArchive/item/21050

Subject

Mathematics

Type

Presentation

Rights

http://rightsstatements.org/vocab/InC/1.0/

Item sets

AEC 2016 School of Sciences and Social Sciences

Site pages

School of Sciences and Social Sciences