Answer:
The length of each side of triangle are 19 ft, 24 ft and 38 ft.
Step-by-step explanation:
Let the length of second side be x.
Now given:
Length of first side is 2 times length of second side.
Length of first side = 2x
Also, Length of third side is 5 ft longer than the second side.
Length of third side = 5+x
Perimeter of triangle = 81 ft.
We need to find the length of each side.
Now perimeter of triangle is sum of all three sides of triangle.
Therefore;
Perimeter of triangle = Length of first side + length of second side + Length of third side.
![2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft](https://tex.z-dn.net/?f=2x%2Bx%2B5%2Bx%3D81%20ft%5C%5C4x%2B5%3D81ft%5C%5C4x%3D%2081%20-5%20ft%5C%5C4x%20%3D%2076ft%5C%5Cx%3D%20%5Cfrac%7B76%7D%7B4%7D%20%3D%2019%20ft)
Length of Second Side = 19 ft.
Length of First side = ![2x= 2\times19 = 38 ft](https://tex.z-dn.net/?f=2x%3D%202%5Ctimes19%20%3D%2038%20ft)
Length of Third side = ![5+x= 5+19=24ft](https://tex.z-dn.net/?f=5%2Bx%3D%205%2B19%3D24ft)
Hence the Length of triangles are 19 ft,38 ft,24 ft.