Coordenadas baricêntricas

Abstract

The objective of this work is to present the technique of solving problems of geometry plane called barycentric coordinates and show that the solutions to some problems become easier with the use of this technique. We begin the work with the development of the basic theory of this technique, from the definition of barycentric coordinates and the calculation of the barycentric coordinates of some remarkable points of the triangle, passing through the equation of the line, formula of the distance between two points, Conway notation and conditions of parallelism and perpendicularity. After that, we apply this technique to solve some problems, many of them coming from Olympic competitions of Matemática. We finish the work indicating a possibility of insertion of this subject in the high school curriculum.