Question

If TSR ~ TFE; find the perimeter of TFE

Answer 1

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.

Solve by cross multiplying:

40(x) = 25(22)

40x = 550

x = 13.75

Find the other side by repeating the process.

Solve by cross multiplying:

40(y) = 25(54)

40y = 1350

x = 33.75

The perimeter is 25 + 13.75 + 33.75 = 72.5

Step-by-step explanation:

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Answer 2

TSR and TFE are similar, the missing side of TFE can be found using proportions.

25 / 40 = x / 22

Solve by cross multiplying:

40(x) = 25(22)

40x = 550

x = 13.75

Find the other side by repeating the process.

25 / 40 = 1 / 54

Solve by cross multiplying:

40(y) = 25(54)

40y = 1350

x = 33.75

The perimeter is 25 + 13.75 + 33.75 = 72.5