| In \[\Delta ABC,\]\[DE\parallel BC,\] so that \[AD=2.4\,cm,\]\[AE=3.2\,cm\] and \[EC=4.8\,cm\] Then, AB is equal to |
 |
A) 3.6 cm
B) 6 cm
C) 6.4 cm
D) 7.2 m
Correct Answer: B
Solution :
| In \[\Delta ADE\approx \Delta ABC,\] |
| \[\frac{AD}{AB}=\frac{AE}{AC}\] |
| \[\Rightarrow \] \[AB=\frac{AD\times AC}{AE}\] |
| \[=\frac{2.4\times (3.2+4.8)}{3.2}\] |
| \[=\frac{2.4\times 8}{3.2}=6\,cm\] |
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