In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BZ$.
Hint: Google Angle Bisector Theorem. Now try to apply it on BY. What do you get? Should be a straight-forward solution.
An additional Hint: You need to apply Angle Bisector Theorem not once, but twice.
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