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Areas of Parallelograms and Triangles
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16/07/2021 4:29 pm
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Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).
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16/07/2021 4:32 pm
△DAC and △DBC lie on the same base DC and between the same parallels AB and CD.
Ar(△DAC) = ar(△DBC)
⇒ ar(△DAC) – ar(△DOC) = ar(△DBC) – ar(△DOC)
⇒ ar(△AOD) = ar(△BOC)