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In the given figure, AO/OC = BO/OD = 1/2 and AB = 5 cm. Find the value of DC.

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In the given figure, AO/OC = BO/OD = 1/2 and AB = 5 cm. Find the value of DC.

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In △AOB and △COD,

∠ AOB = ∠COD (Vertically opposite angles)

AO/OC = BO/OD (given)

Therefore according to SAS similarity criterion,

∴ △AOB ~ △COD

Since, triangles are similar, hence corresponding sides will be proportional

⇒ DC = 10 cm

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