# Altitude Ratio

Geometry Level 4

$ABC$ is a triangle with a right angle at $A$. $M$ and $N$ are points on $BC$ such that $AM$ is the altitude, and $AN$ is the angle bisector of $\angle BAC$. If $\frac {CN} {NB} = 21$, what is $\frac {CM} {MB}$?

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