Question

ABCD with AB || DC. Then, the length of EF E and F are the midpoints of the non-paralle
(a) 4 cm
(6) 6 cm
(c) 5 cm
(d) 7 cm
​

Answer 1

Step-by-step explanation:

ANSWER

Given:- A quadrilateral in which AB∥DC,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=

2

1

(AB+DC)

⇒AB=2EF−DC

Now, given that

DC=8cm

EF=9cm

∴AB=(2×9)−8=10cm

hope you will understand