Question

Triangle TUV is congruent to Triangle GFE. Solve for x, y and z. What is the perimeter of triangle TUV?

Answer 1

`\begin{gathered} x=10 \\ y=12 \\ z=15 \\ P=37\text{ ft} \end{gathered}`

Step-by-step 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

`\begin{gathered} UV=y=12 \\ TU=x=10 \\ TV=GE=z=15 \end{gathered}`

hence, the perimeter of the triangle TUV is

`\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}`

so, the answer is 37 ft

I hope this helps you