Diagonals A C and B D of a trapezium A B...

Diagonals `A C` and `B D` of a trapezium `A B C D` with `A B C D` intersect each where at `Odot` Prove that ar `( A O D)=a r( B O C)dot`

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`/_\DAC and /_\DBC" lie on the same base DC and between the same parallels AB and CD"`
`=>"Two triangles on the same base and between the same parallels are equal in area"`
`Area (/_\DAC) = Area (/_\DBC)`
`therefore "Subtracting Area" (/_\DOC)" from both sides"`
`Area (/_\DAC) - Area (/_\DOC) = Area (/_\DBC) - Area (/_\DOC)`
`Area (/_\AOD) = Area (/_\BOC)`

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