1.

D and E are points on the sides AB and AC respectively of a ∆ABC. If AD = 7.2 cm, AE = 6.4 cm, AB = 12 cm and AC = 10 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 = 7.2 cm, AE = 6.4 cm, AB = 12 cm and AC = 10 cm.

DB = AB – AD = 12 – 7.2 = 4.8 cm and

EC = AC – AE = 10 – 6,4 =3.6 cm

AD /DB = 7.2/4.8 = 3/2 and

AE/EC = 6.4/3.6 = 16/9

=> AD/DB ≠ AE/EC

=> DE is not parallel to BC



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