Since the triangles are similar this means that the ratios between similar sides have to be equal; this means that:
[tex]\begin{gathered} \frac{6.5}{3.6}=\frac{5.2}{y} \\ \frac{6.5}{3.6}=\frac{a}{4.5} \end{gathered}[/tex]
Solving the first equation we have:
[tex]\begin{gathered} \frac{6.5}{3.6}=\frac{5.2}{y} \\ y=\frac{5.2}{\frac{6.5}{3.6}} \\ y=2.88 \end{gathered}[/tex]
Solving the second equation:
[tex]\begin{gathered} \frac{a}{4.5}=\frac{6.5}{3.6} \\ a=4.5(\frac{6.5}{3.6}) \\ a=8.125 \end{gathered}[/tex]
Therefore, a=8.125 and y=2.88
