Q. 29

# ABCD is a trapezi

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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