There is a fenced equilateral triangle field 100 yards on each side.

Question

At each of the 3 corners is a horse.  Each horse starts running at the same time and at the same speed chasing the adjacent horse on the right.  Each horse follows a curved path until all 3 meet in the middle.  I am told the answer as to how far they run is that each of them would run 100 yards but after diagramming this I can't see where they would run that far.  What is the correct answer and what mathematical formula would be used to calculate this?  Thanks.    

Answer 1

100 yards!

 

As the horses run after each other, each is always at a vertex of an equilateral triangle. The sides of the triangle starts at 100 yards and ends at zero in the middle. Each hose runs down one side of the triangle. Therefore each horse runs exactly 100 yards.