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  1. For a triangle ABC, D and E are two points on AB and AC such that AD = ( 1 / 4 )AB, AE = ( 1 / 4 )AC. If BC = 12 cm, then DE is
    1. 5 cm
    2. 4 cm
    3. 3 cm
    4. 6 cm
Correct Option: C

As per the given in question , we draw a figure triangle ABC in which D and E are two points on AB and AC ,

Given that , AD =
1
AB
4

AE =
1
AC and BC = 12 cm
4

AD
=
AB
AEAC

∆ ADE ~ ∆ ABC
∴ DE =
1
BC
4

DE =
1
× 12 = 3 cm.
4



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