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Question

ABCD is a trapezium in which AB || DC. M and N are the mid-points of AD and BC respectively. If AB = 12 cm, MN = 14 cm, then CD =


A

10 cm

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B

12 cm

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C

14 cm

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D

16 cm

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Solution

The correct option is D

16 cm


In trapezium ABCD, AB|| DC. M and N are mid-points of sides AD and BC and MN is joined. AB = 12 cm, MN = 14 cm

MN=12(AB+CD)2MN=AB+CD2×14=12+CDCD=2×1412=2812=16cm


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