Answer:
12 units
Explanation:
Given that we are working with an equilateral triangle, we know that all sides are an equal length.
If one side measures to -2x + 8
and the other measures 3x -2
these expressions must equate to each other.
-2x + 8 = 3x - 2
Let's solve for x
-2x + 8 = 3x - 2 Add 2x to both sides
8 = 5x - 2 Add 2 to both sides to combine like terms
10 = 5x Divide both sides by 5 to isolate x
2 = x
Plug 2 in for x in either given expression
3(2) - 2 = 4
Each side of the triangle measures to 4
Since all 3 sides are the same length, we can simply multiply 4 by 3 to obtain our perimeter
4 * 3 = 12