Given:
Length of one base = 5 cm
Length of midline = 9 cm
Required: Length of the other base
Explanation:
In a trapezoid, the midline is parallel to the bases and its length is half their sum.
Let l be the length of the other base. Then
[tex]\begin{gathered} \frac{5+l}{2}=9 \\ 5+l=18 \\ l=18-5 \\ =13\text{ cm} \end{gathered}[/tex]The length of the other base is 13 cm.
Final Answer: The length of the other base is 13 cm.
