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The answer is square and pyramid
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Given that,
The diagonal BD divides the AC in AO : OC with 2 : 1
↪ To prove : AB = 2C
Proof :
In Δ AOC and Δ DOC
➡ AOB = COD
➡ OBA = ODC (Because DC is parallel to AB, and DB is transversal. So, these are alternates)
Therefore,
↪ Δ AOB is same as Δ COD (By AA similarity)
Δ AOB is same as Δ COD (By AA similarity)Now, AO/OC = AB/DC (Because in similar triangles sides are proportional)
➡ 2/1 = AB/DC (Given that AO : OC = 2 : 1)
So,
➡ AB = 2CD
Hence proved.
Step-by-step explanation:
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