Characterizing Parallelograms with Sides and Diagonals Having Integer Lengths
Item
- 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/
- Site pages
- School of Sciences and Social Sciences
Position: 2161 (39 views)