Answer:
side 1: 40; side 2: 20; side 3: 22
Step-by-step explanation:
It appears that sides 1 and 3 are based on side 2. So side 2 is our "control" and we'll call it x.
If side 1 is 2 times side 2, then
side 1 = 2x.
If side 3 is 2 feet longer than side 2, then
side 3 = x + 2
We are given the perimeter value. The perimeter of any shape is a measure around the outside of the shape. Since a triangle has 3 sides, we add them together and set their sum equal to the perimeter we were given. That looks like this:
x + 2x + x + 2 = 82
Combine like terms to get 4x + 2 = 82
Solve for x to get 4x = 80 and x = 20. That means that side 2 measures 20 feet; side 1 measures twice that, so side 1 = 40 feet, and side 3 measures 2 more than side 2, so side 3 measures 22. Let's add them all together and make sure the numbers work:
20 + 40 + 22 = 82
It works! So we're all done!
