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A B C D is a trapezium in which A B|\|...

`A B C D` is a trapezium in which `A B|\|D C` , `M\ a n d\ N` are the mid-points of `A D\ a n d\ B C` respectively. If `A B=12 cm ,\ M N=14 cm ,\ ` then `C D=` 10cm (b) 12cm (c) 14cm (d) 16cm

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Given : AB=12cm and MN=14 cm
As we know that segment joining the mid-point of non-parallel sides of trapezium is half the sum of the lengths of its parallel sides.
`MN=1/2(AB+DC)`
`14=1/2(12+CD)`
`CD=16`cm
Hence, option (d) is correct.
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