Question

The area of a trapezium is 814 sq.cm and the length of the parallel sides 17 cm and 20 cm . Find the height of trapezium

Answer 1

Answer:

Area of trapazium =1÷2(sum of parallel side) h

814=1÷2 {17+20}×h

814=37÷2×h

h=44

Answer 2

The height of trapezium is 44 cm

Step-by-step explanation:

Length of parallel sides are 17 cm and 20 cm

Area of trapezium = $\frac{1}{2}(\text{Sum of parallel sides}) \times Height$

Area of trapezium =$\frac{1}{2}(17+20)h$

We are given that The area of a trapezium is 814 sq.cm

So,$\frac{1}{2}(17+20)h =814$

$(17+20)h=814 \times 2$

$h=\frac{814 \times 2}{(17+20)}$

h=44

Hence The height of trapezium is 44 cm

#Learn more:

If the length of the parallel sides of a Trapezium are 17/2 cm and 6 cm and height is 5cm, find the area of trapezium​

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