The
above image illustrates the fact that of all triangles
inscribed in a given triangle, the one with least
perimeter connects the feet of the given triangle.
You can click and drag several of the points in
the diagram - try it and see!
Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.