Final answer:
The length of the midsegment of the trapezoid is 7cm.
Step-by-step explanation:
A trapezoid is a quadrilateral with one pair of parallel sides. The midsegment of a trapezoid is a line segment that connects the midpoints of the two non-parallel sides. In this case, the bases of the trapezoid are 5cm and 9cm. The length of the midsegment can be found by taking the average of the lengths of the two bases. So, the length of the midsegment is (5cm + 9cm) / 2 = 7cm.