Question

question 17
1 pts
determine the length of the median of a trapezoid with bases of 28.36 centimeters and 43.82 centimeters.
40 cm
36.10 cm
36.09 cm
36.9 cm

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 bases.

Step2: Substitute the given values into the formula

Here, \(b_1 = 28.36\) cm and \(b_2=43.82\) cm. So, \(m=\frac{28.36 + 43.82}{2}\).
First, calculate the sum of the bases: \(28.36+43.82 = 72.18\).
Then, divide by 2: \(m=\frac{72.18}{2}=36.09\).

Answer:

36.09 cm