SOLUTION: ABCD is a trapezoid with median EF. EF=14, DC= 3x+2, and AB= x-6. What is the length of CD

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Question 388920: ABCD is a trapezoid with median EF. EF=14, DC= 3x+2, and AB= x-6. What is the length of CD
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,

Note: Using the illustration for reference, a median 'EF' would
connect the midpoints of the legs AD and BC AND:
median EF = 14 = (AB + CD)/2 (the average length of the bases)
14 = [(x-6) + (3x + 2)]/2
28 = 4x - 4
32 = 4x
8 = x
Length of CD (3x + 2) = 26
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