For a triangle ABC, D and E are two points on AB and AC such that AD = $$\frac{1}{4}$$ AB, AE = $$\frac{1}{4}$$ AC. If BC = 12 cm, then DE is :

A. 5 cm

B. 4 cm

C. 3 cm

D. 6 cm

Answer: Option C

Solution(By Examveda Team)

According to question,

By using B.P.T
$$\eqalign{ & \frac{{AD}}{{AB}} = \frac{{AE}}{{AC}} = \frac{{DE}}{{BC}} \cr & \frac{{AD}}{{AB}} = \frac{{DE}}{{BC}} \cr & \Rightarrow \,\frac{1}{4} = \frac{{DE}}{{12}} \cr & \Rightarrow DE = 3\,{\text{cm}} \cr} $$