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Answer» Answer: Step-by-step EXPLANATION: Given: ABCD is a traapezium where AB║CD. To prove: ar(ΔAOD)=ar(ΔBOC) Proof: As ΔABD and ΔBAC are on same base AB and between same parallels AB and CD, these Δs will have same area. = ar(ΔABD)=ar(ΔBAC) Now subtracting ar(ΔAOB) both sides, =ar(ΔABD)-ar(ΔAOB)=ar(ΔBAC)-ar(ΔAOB) =ar(ΔAOD)=ar(ΔBOC) (Hence proved) Hope this may help you!! |
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