Triangles RST and UVW are similar. Find the missing side y.

In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
triangle 1
RS = 10
RT = 7
triangle 2
UV = 14.5
UW = y = ?
Step 02:
We must apply the properties of congruent triangles.
[tex]\frac{RS}{UV}=\frac{RT}{UW}[/tex][tex]\frac{10}{14.5}=\frac{7}{UW}[/tex]10 * UW = 7 * 14.5
UW = (7 * 14.5) / 10
UW = 10.15
The answer is:
UW = y = 10.15