Answer:
Step-by-step explanation:
Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.
The perimeter is:
[Equation 1]
We know that the longest side is 10 less than twice the middle side length. This can be expressed as:
[Equation 2]
And the middle side length is three less than three times the shortest side length. This is:
[Equation 3]
The steps are:
- Solve for "z" from the third equation:
[Equation 4]
- Substitute [Equation 4] into [Equation 1]
- Substitute [Equation 2] into [Equation 1]
Then:
- Solve for "y":
- Substitute this value into [Equation 2] and into [Equation 4]: