Question

"LM¯¯¯¯¯¯¯ is the midsegment of trapezoid ABCD . AB=78 and DC=142 . What is LM ?

The image is of a regular trapezoid ABCD with base DC. L and M are marked at mid points of side AD and BC respectively which are joined with a segment.
A. 64
B. 110
C. 120
D. 220"

Answer 1

The length of LM, the midsegment of trapezoid ABCD, is 110.

Step-by-step explanation:

Since LM is a midsegment of trapezoid ABCD, it is parallel to the bases and its length is equal to the average of the lengths of the bases.

The length of AB is 78 and the length of DC is 142. To find the length of LM, we can calculate the average of AB and DC: (78 + 142) / 2 = 220 / 2 = 110

Therefore, the length of LM is 110.