ABCD is a trapezium in which AB is parallel to CD, and E and F are the mid-points of non-parallel sides AD and BC. If EF is parallel to AB, AB = 28 cm and CD = 18 cm, then find EF (in cm).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 23.
Given,
AB = 28 cm
CD = 18 cm
We know,
In a trapezium, the line joining the midpoints of the non-parallel sides is called the mid-segment, and it is parallel to the two parallel sides.
Its length is equal to the average of the lengths of the parallel sides.
The formula for the mid-segment EF = (AB + CD)/2
Now,
⇒ EF = (28 + 18)/2 = 46/2
⇒ EF = 23