Question

question 12 of 25 if the bases of an isosceles trapezoid have lengths of 19 and 38, what is the length of the median? a. 9.5 units b. 19 units c. 57 units d. 28.5 units

Explanation:

Step1: Recall median formula

The formula for the length of the median 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 base - lengths

Given $b_1 = 19$ and $b_2=38$. Substitute into the formula: $M=\frac{19 + 38}{2}$.

Step3: Calculate the sum

$19+38 = 57$. So, $M=\frac{57}{2}=28.5$ units.

Answer:

D. 28.5 units