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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
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- 5 cm
- 4 cm
- 3 cm
- 6 cm
- 5 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 = | AB | |
4 |
AE = | AC and BC = 12 cm | |
4 |
= | |||
AE | AC |
∆ ADE ~ ∆ ABC
∴ DE = | BC | |
4 |
DE = | × 12 = 3 cm. | |
4 |