D and E are points on the sides AB and AC respectively of a ∆ABC. If – InterviewSolution

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1.

D and E are points on the sides AB and AC respectively of a ∆ABC. If AD = 5.7 cm, DB = 9.5 cm, AE = 4.8 cm and EC = 8 cm. Determine whether DE || BC or not.

Answer»

From figure, D and E are the points on the sides AB and AC of ∆ABC

AD = 5.7 cm, DB = 9.5 cm, AE = 4.8 cm and EC = 8 cm

AD/DB = 5.7/9.8 = 3/5

and AE/EC = 4.8/8 = 3/5

=> AD/DB = AE/EC

=> DE || BC

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