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 x y z \frac{y}{z} ,where y y < z z and y y and z z are coprime. Give your answer as x + y + z x+y+z .


Source : RMO 1990


The answer is 6.

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