Mathematics
In the given figure, AB is parallel to DC and AB ≠ DC, the area of △ AOD is equal to area of triangle :
AOB
COD
ACB
BOC
Theorems on Area
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Answer
We know that,
The area of triangles lying on same base and between same parallel lines are equal.
From figure,
△ ADC and △ BCD lie on same base CD and between same parallel lines AB and CD.
∴ Area of △ ADC = Area of △ BCD
⇒ Area of △ ADC - Area of △ COD = Area of △ BCD - Area of △ BOC
⇒ Area of △ AOD = Area of △ BOC.
Hence, Option 4 is the correct option.
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