Question

What is the length of the the midsegment of a trapezoid with bases of length 18 and 24?

Answer 1

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides. In trapezoid below, segment P Q is the midsegment. The length of the midsegment of trapezoid is half the sum of the lengths of the two parallel sides. In the figure above: P Q = A B + C D 2.

Answer 2

The length of the midsegment of a trapezoid with bases of length 18 and 24 is 21 units, calculated by taking the average of the two base lengths.

Step-by-step explanation:

The midsegment of a trapezoid is a segment that connects the midpoints of the non-parallel sides (or legs) of the trapezoid and is parallel to the bases. The length of the midsegment of a trapezoid can be found by taking the average of the lengths of the two bases. In this case, the trapezoid has bases of length 18 and 24. To find the length of the midsegment, we add the lengths of the bases together and divide by 2:

Midsegment length = (Base 1 + Base 2) / 2
Midsegment length = (18 + 24) / 2
Midsegment length = 42 / 2
Midsegment length = 21

Therefore, the length of the midsegment of the trapezoid is 21 units.