The midsegment of a trapezoid is:
1. parallel to both bases;
2. has length equal to the average of the length of the bases.
If a and b are bases and m - midsegment, then [tex] m=\dfrac{a+b}{2} [/tex]. Substitute all given values:
[tex] 19=\dfrac{a+27}{2} ,\\ \\ 19\cdot 2=a+27,\\ a=38-27, \\ a=11 [/tex].
Answer: the length of the second base is 11
