Answer :
Construction: Join A to C
Mark the intersection point of AC and MN as O
Now, M and N are mid points of the non-parallel of a trapezium
Therefore,
MN || AB || DC
So,
MO || BC
And,
M is a mid-point of AD
Therefore,
MO= 
BC
Similarly,
NO = 
AB
Therefore,
MN = MO + NO
= 
(AB + CD)
But,
MN = 14 cm
Hence,
(AB + CD) = 14 cm
12 + CD = 28
CD = 16 cm
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