A piece of paper in the shape of an equilateral ABC has AB = 8. When A is folded over to any point on BC, a crease of length x is formed which joins some point of AC to some point of AB. As A is moved along BC from B to C, x varies. If the greatest value of x is M and the least value of x is m, find the ordered pair (M,m).

Guest Dec 6, 2019