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Question

In the quadrilateral given below, AB||DC, E and F are mid point of of non-parallel sides AD and BC respectively.
Calculate EF if AB=6 cm and DC=4 cm

1458398_d0fee680bfb7461d89d91d33c006e5e9.png

Solution
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Given:- A quadrilateral in which ABDC,E and F are mid-points of non-parallel sides AD and BC respectively.

Solution:-

We know that the length of the line segment joining the mid-points of two non-parallel sides is half the sum of the lengths of parallel sides.

E and F are mid-points of AD and BC.

EF=12(AB+CD)

Now, given that-

AB=6cm

DC=4cm

EF=12(6+4)=5cm

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