Question

Triangle EFG is similar to triangle HIJ. Find the measure of side HI. Round your answer to the nearest tenth if necessary. G J 19 44 I H H I F 25 E

Answer 1

Step 1: Note that if two triangles are similar, then the ratios of their corresponding sides are equal

Step 2: Find HI

`(HI)/(25)=(9)/(44)`
`\text{ Cross-multiplying, we have}`
`\begin{gathered} 44HI=9*25 \\ \text{ Dividing both sides by 44, we have} \\ (44HI)/(44)=(9*25)/(44) \end{gathered}`
`\begin{gathered} \text{ Therefore} \\ HI=(225)/(44)\approx5.1 \end{gathered}`

Hi = 5.1