Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - 6-6 Trapezoids and Kites - Lesson Check - Page 393: 3


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 = $20$
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