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In Figure, A B C D is a quadrilateral an...

In Figure, `A B C D` is a quadrilateral and `B E || A C` and also `B E` meets `D C` produced at `E` . Show that area of `triangle A D E` is equal to the area of the quadrilateral `A B C D`.

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Lets proof BE||AC and take other things given.
area(ABCD)=area(ACD)+area(ABC)
area(ADE)=area(ACD)+area(AEC)
So, area(ABC)=area(AEC)
According theorem 9.2
BE||AC.
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