Final answer:
The length of the midsegment of the trapezoid is 7.
Step-by-step explanation:
To find the length of the midsegment of an isosceles trapezoid, we need to use the formula:
Midsegment length = (sum of the lengths of the two bases) / 2
In this trapezoid, GJ and HI are parallel sides, so they are the two bases. Given that GJ = 5 and HI = 9, we can substitute these values into the formula:
Midsegment length = (5 + 9) / 2
Midsegment length = 14 / 2
Midsegment length = 7
Therefore, the length of the midsegment of the trapezoid is 7.
Learn more about length of midsegment