Question

Let PQRS is the trapezium where PQ ll SR what is the length of line drawn from midpoint of the non parallel side if the length of PQ is 7 cm and SR is 18 cm?
1. 12.5 cm
2. 10.5 cm
3. 22.5 cm
4. 17.5 cm

Answer 1

Correct Answer - Option 1 : 12.5 cm

Given:

PQRS is the trapezium where PQ ll SR and the length of PQ is 7 cm and SR is 18 cm respectively

Concept Used:

The line joining the mid points of non parallel sides is half the sum of parallel side and called as median

∴ Median = 1/2 × (sum of parallel sides)

Calculation:

By the using the concept given above the line joining the midpoint of non parallel side is called the median of trapezium

∴ Median = 1/2 × (7 + 18) = 25/2 = 12.5

So, the length of median is 12.5 cm

Hence, option (1) is correct