Stage: 4 Challenge Level: 
Fermat was an amateur mathematician of great intellect. He wrote this problem:
Find the point whose sum of distances from the vertices (corners) of a given triangle is a minimum.
Mathematical modelling. Games. Combinatorics. Working systematically. alphas. Mathematical reasoning & proof. Real world. Topology. Visualising. Networks/Graph Theory.
Published March 1997.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk