Uma exploração dos teoremas de Ceva e Menelau na Geometria Euclidiana Plana com o uso do GeoGebra

Abstract

This study aims to explore and analyze Ceva's and Menelaus' theorems in Euclidean geometry, as they constitute fundamental tools in examining the relationships between line segments in triangles. Their application not only enables the understanding of geometric properties but also facilitates the resolution of complex problems, which is the main goal of this research. In this work, the formulations and proofs of the theorems will be presented, along with practical examples of their application in various geometric contexts. Furthermore, the relationships between these theorems and other geometric concepts will be discussed, deepening the understanding of their underlying properties. Through an investigative approach, this study seeks to provide a comprehensive and in-depth understanding of these theorems and their relevance to solving geometric problems.