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is the midsegment of trapezoid ABCD. If AB =50 and DC = 135, what is LM? Please show all work in order to recieve full credit for this problem
To find the length of LM, we need to first find the lengths of the bases of the trapezoid.
Since LM is the midsegment, it is parallel to both bases AB and CD, and its length is equal to the average of the lengths of the bases.
The length of AB is given as 50, and the length of CD is given as 135.
So, the length of LM is (AB + CD) / 2 = (50 + 135) / 2 = 185 / 2 = 92.5.
Therefore, the length of LM is 92.5.