1.

AO B0 1OC OD 2In the fig., Find AB when CD :-12cm.-

Answer»

In ΔAOB and ΔCOD,

∠ AOB = ∠COD (Vertically opposite angles)

AO/OC = DO/OB (Given)

Therefore according to SAS similarity criterion,

ΔAOB ~ ΔCOD

AO/OC = BO/OD = AB/DC [corresponding sides of similar triangles are proportional]

⇒ 1/2 = AB/12

⇒ AB = 12/2 = 6 cm

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