Question

two parallel sides of an isosceles trapezium are 6 cm and 14 cm respectively. if the length of each non parallel side is 5 cm, find the area of the trapezium.

Answer 1

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

Answer 2

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