When two secants are arranged in the form of the picture the segments must obey the following rule:
[tex]HX\cdot HY=HZ\cdot HW[/tex]
Applying the data from the problem we have:
[tex]\begin{gathered} 14.4\cdot HY=9\cdot72 \\ HY=\frac{9\cdot72}{14.4} \\ HY=45 \end{gathered}[/tex]
The length of HY is 45.
