the areaof the trapezium is 450 sq. cm and the length of the parallel sides are 37 centimetre and 23 centimetre find the distance between them
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Answered by
13
Here's The Answer :
The distance between two parallel sides is the height of the trapezium.
Hence, we have to find the height of the Trapezium.
Let the height of the trapezium be H cm.
=> Area of a Trapezium = 450 sq. cm
1 /2 × (Sum of parallel sides) × Height = 450
1 /2 × ( 37 + 23 ) × H = 450
1 /2 × 60 × H = 450
60 /2 × H = 450
30 × H = 450
30H = 450
H = 450 / 30
H = 15
So, the distance between two parallel sides is 15 cm .
The distance between two parallel sides is the height of the trapezium.
Hence, we have to find the height of the Trapezium.
Let the height of the trapezium be H cm.
=> Area of a Trapezium = 450 sq. cm
1 /2 × (Sum of parallel sides) × Height = 450
1 /2 × ( 37 + 23 ) × H = 450
1 /2 × 60 × H = 450
60 /2 × H = 450
30 × H = 450
30H = 450
H = 450 / 30
H = 15
So, the distance between two parallel sides is 15 cm .
Answered by
9
15 cm
Step-by-step explanation:
1/2×60=450
60/2=450
30=450
=450/30
=15cm
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