LM is the midsegment of trapezoid ABCD. If AB
=50 and DC = 135 what is LM? please show all work in order to receive full credit for this problem
To find the length of LM, we need to find the average of the lengths of the two parallel sides of the trapezoid.
Since LM is the midsegment, it is parallel to both AB and CD. Therefore, we can say that LM = (AB + CD)/2.
Substituting the given values, we get LM = (50 + 135)/2 = 185/2 = 92.5
So, the length of LM is 92.5 units.