Q. 29
ABCD is a trapezium in which AB||DC. M and N are the mid-points of AD and BC respectively, If AB=12cm, MN=14 cm, then CD=
A. 10 cm
B. 12 cm
C. 14 cm
D. 16 cm
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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