Final answer:
The length of the median in an isosceles trapezoid with bases of 13 and 26 units is 19.5 units, calculated as the average of the base lengths.
Step-by-step explanation:
If the bases of an isosceles trapezoid have lengths of 13 and 26, the length of the median is the average of the lengths of the two bases. The median of an isosceles trapezoid is a line segment that connects the midpoints of the legs and its length is always the average of the base lengths.
So, we calculate the median length as follows:
Median length = (length of shorter base + length of longer base) / 2
Median length = (13 + 26) / 2
Median length = 39 / 2
Median length = 19.5 units
Therefore, the length of the median of the isosceles trapezoid is 19.5 units.