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Diagonals A C\ a n d\ B D of a trapez...

Diagonals `A C\ a n d\ B D` of a trapezium `A B C D` with `A B||D C` intersect each other at `O` . Prove that `a r\ ( A O D)=\ a r\ ( B O C)` .

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Given `ABCD` is a trapezium the diagonal `AC and BD` with `AB∥CD` intersect each other at `O`.
`AB∥CD`
Then `/_\ADB` and `/_\ACB` lie on same base `AB` and between two parallel line `AB` and `CD`.
`ar(ADB)=ar(ACB)`
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