A) \[\sqrt{2}:(\sqrt{2}-1)\]
B) \[(\sqrt{2}+1):\sqrt{2}\]
C) \[(\sqrt{2}-1):\sqrt{2}\]
D) \[\sqrt{2}:(\sqrt{2}+1)\]
Correct Answer: C
Solution :
[c] \[\Delta ADE\] is Similar to\[\Delta \,ABC\] and \[\frac{\text{Area}\,\,\text{o}f\,\,\Delta ADE}{\text{Area}\,\,\text{of}\,\,\Delta ABC}\] \[=\frac{1}{2}\]\[\Rightarrow \]\[\frac{AD}{AB}=\frac{1}{\sqrt{2}}\] \[\therefore \] \[\frac{DB}{AB}=1-\frac{DB}{AB}=1-\frac{1}{\sqrt{2}}=\frac{\sqrt{2}-1}{\sqrt{2}}\] |
You need to login to perform this action.
You will be redirected in
3 sec