A) \[7.5cm\]
B) \[15cm\]
C) \[22.5cm\]
D) \[30cm\]
Correct Answer: B
Solution :
Since. \[\Delta DEF\tilde{\ }\Delta ABC\] [Given] \[\Rightarrow \] \[\frac{AB}{DE}=\frac{BC}{EF}\] \[\Rightarrow \] \[\frac{3}{DE}=\frac{2}{4}\]\[\Rightarrow \] \[DE=6\,cm\] Also, \[\frac{AC}{DF}=\frac{BC}{EF}\Rightarrow \frac{2.5}{DF}=\frac{2}{4}\Rightarrow DF=5\,cm\] \[\therefore \] Perimeter of \[\Delta DEF=DE+EF+FD\] \[=6\text{ }cm+4\text{ }cm+5\text{ }cm=15\text{ }cm\]You need to login to perform this action.
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