"Se presentar´a una nueva soluci´on al problema de Fermat-Torricelli sobre conjuntos convexos, tambi´en se presenta un algoritmo para encontrar geom´etricamente la soluci´on a este problema. Adem´as tambi´en se demuestran algunos resultados interesantes derivados de los teoremas obtenidos.""We will see a new solution to Fermat-Torricelli’s problem applied to convex sets, also an algorithm to find geometrically the solution to this problem. Besides we will show some interesting results derived from the theorems obtained."