Similar triangles are triangles that maintain the same ratio even though they are of different scales. Their angles are however equal.
In this case, y is the longest side in triangle 2 as 37.5 is the longest side in triangle 1
The ratio is thus:
[tex]\frac{y}{37.5}=\frac{16.5}{27.5}[/tex]Cross multiplying, we have:
[tex]\begin{gathered} 27.5y\text{ =37.5 x 16.5} \\ to\text{ get y, we divide both sides by 27.5} \\ \frac{27.5y}{27.5}\text{ = }\frac{\text{37.5 x 16.5}}{27.5} \end{gathered}[/tex]y = 22.5
