A) 8 cm
B) 6cm
C) 4cm
D) 10 cm
Correct Answer: C
Solution :
In the given \[BC\,|\,|\,\,DE\]. \[\therefore \,\,\,\Delta ABC\tilde{\ }ADE\], \[\Rightarrow \,\,\,\frac{AB}{AD}=\frac{BC}{DE}\Rightarrow \,\,\frac{x}{x+4}=\frac{3}{6}\] \[\Rightarrow \,\frac{x}{x+4}=\frac{1}{2}\] \[\Rightarrow \,2x=x+4\Rightarrow \,\,x=4\,\,cm\]
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