1.

D and E are points on the sides AB and AC respectively of a ∆ABC such that DE || BC. Find the value of x, when AD = 4 cm, DB = (x – 4) cm, AE = 8 cm and EC = (3x – 19) cm.

Answer»

From figure, D and E are the points on the sides AB and AC respectively and DE || BC

then AD/DB = AE/EC

AD = 4 cm, DB = (x – 4) cm, AE = 8 cm and EC = (3x – 19) cm.

AD/DB = AE/EC

4/(x-4) = 8/(3x-19)

4(3x-19) = 8(x-4)

Solving, we get x = 11 cm



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