Respuesta :

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