RMO paper crease

Geometry Level 3

A square sheet of paper ABCD is so folded that B falls on the midpoint M of CD. Find the ratio in which the crease will divide BC. If your answer is the form \(x\) \(\frac{y}{z}\) ,where \(y\) < \(z\) and \(y\) and \(z\) are coprime. Give your answer as \(x+y+z\).


Source: RMO 1990

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