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For a triangle ABC,D and E are two point...

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

A

4 cm / 5 सेमी

B

5 cm / 4 सेमी

C

3 cm/ 3 सेमी

D

6 cm / 6 सेमी

Text Solution

Verified by Experts

The correct Answer is:
C
`(AD)/( AB) = ( AY)/(AC)= (DE)/( BC)`
`implies (x )/( x + 3x) = ( DE)/(12)`
`implies DE = (12)/(4) = 3 cm`
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