In the given figure, ∆OAB ~ ∆OCD. If AB = 8cm, BO = 6.4cm, OC = 3. – InterviewSolution

InterviewSolution

1.

In the given figure, ∆OAB ~ ∆OCD. If AB = 8cm, BO = 6.4cm, OC = 3.5cm and CD = 5cm, find (i) OA (ii) DO.

Answer»

(i) Let OA be X cm.

∵ ∆ OAB - ∆ OCD

∴ OA/ OC = AB/CD

⇒ X/3.5 = 8/5

⇒ X = 8×3.5/5 = 5.6

Hence, OA = 5.6 cm

(ii) Let OD be Y cm

∵ ∆ OAB - ∆ OCD

∴ AB/CD = OB/OD

⇒ 8/5 = 6.4/Y

⇒ Y = 6.4 ×5/8 = 4

Hence, DO = 4 cm

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