Dušan Vallo

Konštrukcia obdĺžnika daného obsahu vpísaného do pravouhlého trojuholníka v prostredí GeoGebra

Problem of Rectangle of Given Area Inscribed in Right-Angled Triangle in GeoGebra Environment

Abstract

In this article, we focus on the solution to the geometric construction task of how to inscribe a rectangle of a given area into a right-angled triangle. We present three different solutions based on the algebraic-geometric method a graphical approach, too. The dynamical geometry software GeoGebra will be used to demonstrate the solutions.
Keywords
geometric construction task, GeoGebra, right-angled triangle, rectangle
Classification
G10, G45, R20
References
Šervatov, V. G. (1954). Hyperbolické funkcie. Populárne prednášky z matematiky. Zväzok 16. Gostechizdat. (rusky)
Kaenders, R., & Schmidt, R. (2011). Mit GeoGebra mehr Mathematik verstehen. Beispiele für die Förderung eines tieferen Mathematikverständnisses aus dem GeoGebra Institut Köln/Bonn. Wiesbaden: Vieweg + Teubner (nemecky)
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