The ratio of the length of the parellel sides of a trapezium is 5:3 and the distance between them is 16 cm.If the area of trapezium is 960 cm root 2.Find the lenghth of parellel sides.
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Answer:
Area = 1\2 x height x ( a + b )
Where , a + b = 5 : 3
Let 5 : 3 = 5x + 3x
1\2 x 16 x ( 3x + 5x ) = 96O
8 x 8x = 96O
8x = 96O\8
8x = 12O
x = 15
Sides :-
5 x 15 = 75
3 x 15 = 45
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