question_answer

The parallel sides of a trapezium are p and q respectively. The line joining the mid-points of the non-parallel sides will be

A)  \[\sqrt{pq}\]

B)  \[\frac{2pq}{p+q}\]

C)  \[\frac{(p+q)}{2}\]

D)  \[\frac{1}{2}(p-q)\]

Correct Answer: C

Solution :

Here, as ABCD is trapezium. So,       \[EF=\frac{1}{2}(AB+DC)\] \[EF=\frac{1}{2}(p+q)\] \[(\because AB=p,DC=q)\]