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 \( \frac {CM} {MB} \)?
by
Calvin Lin