Answer :

Given that,

ABCD is a trapezium with AB ‖ DC

**To prove:** Area ( = Area (

**Proof:** Since,

Δ*ABC* and *ABD* are on the same base *AB* and between the same parallels *AB* and *DC.*

Therefore,

Area (Δ *ABC*) = Area (Δ *ABD*)

Area (Δ *ABC*) – Area (Δ *AOB*) = Area (Δ*ABD*) – Area (Δ *AOB*)

Area (Δ *AOD*) = Area (Δ *BOC*)

Hence, proved

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