Answer:
18.5
Explanation:
We have been give that the base of an isosceles trapezoid have lengths of 11 and 26. We are asked to find the length of the median.
We know that the median of an isosceles trapezoid equals half the sum of the base lengths. We can set an equation using our given information as:
![\text{Length of median}=(11+26)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/5xakrjateastvw68lnw8mnzwv3uz6q3zu9.png)
![\text{Length of median}=(37)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fz4tof6gac2w45ig0lfdi9sc8mpvnhplzu.png)
![\text{Length of median}=18.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/pjbgm919iti7qsongyqfkqm3mwsirgwxe1.png)
Therefore, the length of median of our given trapezoid is 18.5.