x - shortest side
2x - second side
x + 26 - third side
174 ft - perimeter
x + 2x + (x + 26) = 174
4x + 26 = 174 |-26
4x = 148 |:4
x = 37 ft
2x = 2(37) = 74 ft
x + 26 = 37 + 26 = 63 ft
Answer: 37 ft, 74 ft and 63 ft.
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