Question

Solve for y please and thank uou

Answer 1

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:

`(y)/(37.5)=(16.5)/(27.5)`

Cross multiplying, we have:

`\begin{gathered} 27.5y\text{ =37.5 x 16.5} \\ to\text{ get y, we divide both sides by 27.5} \\ (27.5y)/(27.5)\text{ = }\frac{\text{37.5 x 16.5}}{27.5} \end{gathered}`

y = 22.5