Question

Find the length of side PR

Answer 1

PR=45

Step-by-step explanation

Step 1

as the triangles are similar, the ratio of the smaller side to the longest side must be equal,so

`\text{ratio}=\frac{smaller\text{ length}}{\text{longest length}}=\frac{green\text{ length}}{\text{black length}}`

so

`\begin{gathered} \text{ratio}1=\text{ratio}2 \\ (18)/(20)=(PR)/(50) \end{gathered}`

Step 2

solve for PR

`(18)/(20)=(PR)/(50)`

cross multiply

`\begin{gathered} (18)/(20)=(PR)/(50) \\ 18\cdot50=20\cdot PR \\ 900=20PR \end{gathered}`

divide both sides by 20

`\begin{gathered} 900=20PR \\ (900)/(20)=(20PR)/(20) \\ 45=PR \end{gathered}`

so, the answer is 45

I hope this helps you