Answer: Smaller side = 14ft
middle side = 33ft
Larger side = 37ft
Step-by-step explanation:
This triangle has 3 sides, defined by the variables:
S = length of the smallest side.
M = length of the middle side.
L = length of the larger side.
And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.
We also know that:
M = 5ft + 2*S
L = 3*S - 5ft
84ft = S + M + L.
The first step is to replace the first and the second equation into the third, so we can solve it for S.
84ft = S + (5ft + 2*S) + (3*S - 5ft)
84ft = 6*S
84ft = 6*S
84ft/6 = 14ft = S.
Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:
M = 5ft + 2*S = 5ft + 2*14ft = 33ft
L = 3*S - 5ft = 37ft
