modifying above L M with bar is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?
Trapezoid A B C D is shown with segment A B parallel to segment D C. A segment is drawn from midpoint L of segment A D to midpoint N of segment B C.
(1 point)
Responses
103.5
103.5
63
63
79
79
85.5
85.5
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To find the length of LM, we can use the fact that the midsegment of a trapezoid is parallel to the bases and has a length equal to the average of the lengths of the bases.
In this case, the length of AB is 46 and the length of DC is 125. So, the length of the midsegment MN is equal to (46 + 125)/2 = 171/2 = 85.5.
Therefore, the length of LM is also 85.5.