Answer:
72.5
Step-by-step explanation:
To find the perimeter of the triangle, add all three sides. Since triangles TSR and TFE are similar, the missing side of TFE can be found using proportions.
[tex]\frac{25}{40}=\frac{x}{22}[/tex]
Solve by cross multiplying:
40(x) = 25(22)
40x = 550
x = 13.75
Find the other side by repeating the process.
[tex]\frac{25}{40}=\frac{y}{54}[/tex]
Solve by cross multiplying:
40(y) = 25(54)
40y = 1350
x = 33.75
The perimeter is 25 + 13.75 + 33.75 = 72.5
