In the Figure, If DE∥ BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE Equals

In the figure, if DE∥ BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals



(a) 7cm 

(b) 6cm 

(c) 4cm 

(d) 3cm




(b) 6cm 

Explanation:

Since,

DE ∥ BC, △ ABC ~ △ ADE (By AA rule of similarity)

So,

= `"AD"/"AB"` = `"DE"/"BC"`

= `"3"/"7"` = `"DE"/"14"`

= `"3"/"7"` x 14 = DE

= 3 x 2 = DE

= DE = 6 cm






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