Question

The trapezoid has a base of 5 cm and a midline of 9 cm. Find the other base of the trapezoid.

Answer 1

Given:

Length of one base = 5 cm

Length of midline = 9 cm

Required: Length of the other base

Step-by-step 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

`\begin{gathered} (5+l)/(2)=9 \\ 5+l=18 \\ l=18-5 \\ =13\text{ cm} \end{gathered}`

The length of the other base is 13 cm.

Final Answer: The length of the other base is 13 cm.