Final answer:
To find the length of the medium side of the triangle, set up the equation and solve. The length of the medium side is 20.
Step-by-step explanation:
The lengths of a triangle are consecutive even integers, What is the length of the medium side if the perimeter is 60? Set up the equation and solve. Show your work for full credit.
To find the length of the medium side of the triangle, let's represent the consecutive even integers as x, x+2, and x+4. The perimeter of a triangle is the sum of all its sides, so we can set up the equation as:
x + (x+2) + (x+4) = 60
Combining like terms, we get:
3x + 6 = 60
Subtracting 6 from both sides, we have:
3x = 54
Finally, dividing both sides by 3, we find that:
x = 18
Therefore, the length of the medium side is x + 2 = 18 + 2 = 20.