Volume no :51, Issue no: 1, May (2018)

OPTIMIZATION OF CERTAIN COMPONENTS OF QUADRILATERALS: A SIMPLIFIED APPROACH TO OLD AND NEW PROBLEMS

Author's: Moshe Stupel, Avi Sigler and Jay Jahangiri
Pages: [85] - [98]
Received Date: April 21, 2018; Revised May 31, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121960

Abstract

The optimization of components of quadrilaterals, such as area and product of diagonals, can be obtained using calculus optimization. Without resorting to calculus, we use simple algebraic and geometrical identities and provide simplified approaches to these problems and many more. Such mathematical activity can lead to a deeper study of the discovery of hidden extreme properties in different geometrical figures.

Keywords

perimeter, area, quadrilaterals, optimization.