Question

What is the length of the midsegment of this trapezoid? Enter your answer in the box. units A (-11, 3) -12-11-10-9-8-7-6 D(-8,-2) -5-4-3-2 C(-1,-2) 5- 4 3 2 B (0, 3) 1 2 3​

Answer 1

The length of the midsegment of the trapezoid is 10.3 units.

Step-by-step explanation:

The length of the midsegment of a trapezoid can be calculated by taking the average of the lengths of the two bases. In this case, the bases are AC and BD. To find the length of AC, we use the distance formula between points A and C, which is:

√((-11 - (-1))^2 + (3 - (-2))^2) = √(100 + 25) = √125 = 11.2 units.

To find the length of BD, we use the distance formula between points B and D, which is:

√((0 - (-8))^2 + (3 - (-2))^2) = √(64 + 25) = √89 = 9.4 units.

Therefore, the length of the midsegment of the trapezoid is the average of 11.2 and 9.4, which is:

(11.2 + 9.4)/2 = 10.3 units.