Question

question 6 (5 points)
use the diagram to find the value of the median of the trapezoid.
a
7
b
d
21
c

Explanation:

Step1: Recall the formula for the median of a trapezoid

The formula for the median \(m\) of a trapezoid is \(m=\frac{b_1 + b_2}{2}\), where \(b_1\) and \(b_2\) are the lengths of the two parallel sides.

Step2: Identify the lengths of the parallel sides

In the trapezoid \(ABCD\), \(b_1 = AB=7\) and \(b_2 = DC = 21\).

Step3: Substitute the values into the formula

Substitute \(b_1 = 7\) and \(b_2=21\) into \(m=\frac{b_1 + b_2}{2}\), we get \(m=\frac{7 + 21}{2}\).
First, calculate the sum in the numerator: \(7+21=28\).
Then, divide by 2: \(m=\frac{28}{2}=14\).

Answer:

14