A) 4 cm
B) 2 cm
C) 12 cm
D) 6 cm
Correct Answer: C
Solution :
[c] Since, P, S Q are the mid-points of AB and BC, therefore \[\frac{AP}{AB}=\frac{PQ}{BC}=\frac{1}{2}\] (i) Now, \[\frac{PR}{RQ}=\frac{1}{2}\]\[\Rightarrow \]\[\frac{2}{RQ}=\frac{1}{2}\]\[\Rightarrow \]\[RQ=4\] \[\therefore \] \[PQ=2+4=6\,cm\] Therefore, from Eq. (i), we get \[\frac{6}{BC}=\frac{1}{2}\]\[\Rightarrow \]\[BC=12\,cm\] |
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