## Geometry: Common Core (15th Edition)

Length of the midsegment = $20$
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 = $20$