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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 (i) AD = x cm, DB = (x – 2) cm, AE = (x + 2) cm and EC = (x – 1) cm. (ii) AD = 4cm, DB = (x – 4) cm, AE = 8cm and EC = (3x – 19) cm.

 

 

 

 

Answers:

(i)

In ∆ ABC,

DE ‖ BC

Applying Thales’ theorem,

 

(ii)

In ∆ ABC,

DE ‖ BC

Applying Thales’ theorem,