The midsegment (also called the median) of a trapezoid is the line segment connecting the midpoints of the non-parallel sides. The length of the midsegment can be calculated by averaging the lengths of the two parallel bases.

The formula for the midsegment $M$ is:

$M = \frac{b_1 + b_2}{2}$

Where:

• $b_1$ is the length of the first base
• $b_2$ is the length of the second base

Given that the lengths of the bases are $1212$ and $2828$, we can substitute these values into the formula:

$M = \frac{1212 + 2828}{2} = \frac{4040}{2} = 2020$

So, the length of the midsegment is 2020.

Would you like further clarification or more details on the formula?

Here are 5 related questions:

1. How does the midsegment relate to the area of the trapezoid?
2. Can the midsegment be used to calculate the height of the trapezoid?
3. How does the midsegment change if the trapezoid is isosceles?
4. What is the formula for the area of a trapezoid?
5. How would you find the length of the midsegment in a trapezoid if the sides are not parallel?

Tip: The midsegment is always parallel to the bases and its length is the average of the lengths of the two bases.