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Diagonals of a trapezium ABCD with AB...

Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

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Given,
A B C D is a trapezium with A B | C D
And
A B=2 C D
In the triangles {AOB} and {COD},
angle {DOC}=angle {BOA} [vertically opposite angles are equal]
...
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