Step 1: Note that if two triangles are similar, then the ratios of their corresponding sides are equal
Step 2: Find HI
[tex]\frac{HI}{25}=\frac{9}{44}[/tex][tex]\text{ Cross-multiplying, we have}[/tex][tex]\begin{gathered} 44HI=9\times25 \\ \text{ Dividing both sides by 44, we have} \\ \frac{44HI}{44}=\frac{9\times25}{44} \end{gathered}[/tex][tex]\begin{gathered} \text{ Therefore} \\ HI=\frac{225}{44}\approx5.1 \end{gathered}[/tex]Hi = 5.1
