Answer
Length of the midsegment = $20$
Work Step by Step
According to the trapezoid midsegment theorem, in a quadrilateral that is a trapezoid, the midsegment is parallel to the bases and is half the sum of the base lengths.
If a trapezoid has bases with lengths of $14$ and $26$, then let us set up the equation to find the length of the midsegment:
Length of the midsegment = $\frac{1}{2}(14 + 26)$
Evaluate parentheses first:
Length of the midsegment = $\frac{1}{2}(40)$
Multiply to solve:
Length of the midsegment = $20$
