Professional paper

Heron's formula as the solution system of functional equations

Antun Ivanković ; Srednja škola Ilok, Hrvatska

Abstract

In this article many non-standard methods and procedures are being
used to prove Heron's formula. Namely, by observing one system of functional equations with three real variables we reach a solution which square root has the same algebraic structure as the Heron's formula. While analyzing each of the four equations of the system
we get not only the information which confirme that the formula in question is indeed the Heron's formula but much more as well.

Keywords

functional equations; system of functional equations; triangle; rectangular triangle; defect of triangle; paralellogram; trigonometry

Hrčak ID:

59275

URI

https://hrcak.srce.hr/59275

Publication date:

11.10.2010.

Article data in other languages: croatian

Visits: 3.353 *