Question

Find the altitude of a trapezium whose sum of parallel sides is 8.5 cm and area is 34 sq.cm *​

Answer 1

Given:-

=> Sum of parallel sides of the trapezium=8.5cm

=>Area of the trapezium=34cm²

To find:-

=> Altitude of the trapezium.

Solution:-

Let the altitude be a

=>Area of a trapezium------

=>1/2×(sum of parallel sides)×altitude

=>1/2×8.5×a=34

=>4.25a=34

=>a=34/4.25

=>a=8cm

Thus,the altitude is 8cm.

Answer 2

Given:-

=> Sum of parallel sides of the trapezium=8.5cm

=>Area of the trapezium=34cm²

To find:-

=> Altitude of the trapezium.

Solution:-

Let the altitude be a

=>Area of a trapezium------

=>1/2×(sum of parallel sides)×altitude

=>1/2×8.5×a=34

=>4.25a=34

=>a=34/4.25

=>a=8cm