# Horse friends - math puzzle

Three horses are standing in a triangular field, which is exactly 100
yards on each side. One horse stands at each corner; and simultaneously
all three set off running. Each horse runs after the horse in the
adjacent corner on his left, thus following a curved course, which
terminates in the middle of the field, all three horses arriving there
together.
The horses obviously ran at the same speed, but just how far did they
run?