1957 AMC 12 Question 48

Question 48

Let $ABC$ be an equilateral triangle inscribed in circle $O.$ $M$ is a point on arc $BC.$ Lines $AM,$ $BM,$ and $CM$ are drawn. Then $AM$ is:

1. equal to $BM+CM$
2. less than $BM+CM$
3. greater than $BM+CM$
4. equal to, less than, or greater than $BM+CM,$ depending upon
   the position of $M$
5. none of these