[tex]\begin{gathered} x=10 \\ y=12 \\ z=15 \\ P=37\text{ ft} \end{gathered}[/tex]
Explanation
Step 1
Two triangles are said to be congruent if they are of the same size and same shape.
so, the measures are equivalent
[tex]\begin{gathered} UV=y=12 \\ TU=x=10 \\ TV=GE=z=15 \end{gathered}[/tex]
hence, the perimeter of the triangle TUV is
[tex]\begin{gathered} \text{Perimeter}=\text{side}1+\text{side}2+\text{side}3 \\ \text{replace} \\ P=10+15+12 \\ P=37\text{ ft} \end{gathered}[/tex]
so, the answer is 37 ft
I hope this helps you
