What is the length of the second base of a trapezoid if the length of one base is 27 and the length of the mid-segment is 19? show your work

The length of the second base of a trapezoid if the length of one base is 27 and the length of the mid-segment is 19 is that it is 11.

Solution:

Length of the mid-segment = (long base + short base) / 219
 = (27 + short base) / 219 - (27 / 2)
= short base / 2 times 238 -27
= short baseshort base
 = 11