In ∆ABC, DE║BC so that AD = 2.4cm, AE = 3.2cm and EC = 4.8cm. Then – InterviewSolution

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In ∆ABC, DE║BC so that AD = 2.4cm, AE = 3.2cm and EC = 4.8cm. Then, AB = ? (a) 3.6cm (b) 6cm (c) 6.4cm (d) 7.2cm

Answer»

(b) 6 cm

It is given that DE || BC.

Applying basic proportionality theorem, we have:

AD/BD = AE/ EC

⇒ 2.4/BD = 3.2/4.8

⇒ BD = 2.4×4.8/3.2 = 3.6 cm

Therefore, AB = AD + BD = 2.4 + 3.6 = 6 cm

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