Question

non parallel sides of a Trapezium are of length 6 cm each and The parallel sides are of length 14 cm and 20 cm find the height of the trapezium

Answer 1

Answer:

see, dividing the trapezium into two triangle and one rectangle,

rectangle having one side =6 cm

triangle's sides are 5cm and 4cm

To find the third side or the perpendicular distance between both parallel lines,

Apply pythagoras' theorem.

height =√((5)² -(4)²)

          = 3 cm

so, area = (1/2)×(sum of parallel side)×(distance between them)

             = (1/2)×(6+ 14)×3

             = 30 cm²

Step-by-step explanation: