question_answer

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

Correct Answer: C

Solution :

       \[\frac{AD}{AE}=\frac{AB}{AC}\] \[\Delta \,ADE\,\sim \,\Delta \,ABC\] \[\therefore \] \[DE=\frac{1}{4}\,\,BC\] \[=\frac{1}{4}\times 12=3\] cm