A) \[1-2\sqrt{2}\]
B) \[2\sqrt{2}+1\]
C) \[4+\sqrt{2}\]
D) \[4+2\sqrt{2}\]
Correct Answer: D
Solution :
[d] Let \[A(0,0),\]\[B(2,0)\] and \[C(0,2)\] be the vertices of \[\Delta ABC\] |
\[\therefore \,\,\,\,\,\,\,\,\,\,AB=\sqrt{{{(2-0)}^{2}}+{{(0-0)}^{2}}}=2\] |
\[BC=\sqrt{{{(0-2)}^{2}}+{{(2-0)}^{2}}}=2\sqrt{2}\] |
\[CA=\sqrt{{{(0-0)}^{2}}+{{(0-2)}^{2}}}=2\] |
\[\therefore \]Required perimeter |
\[=2+2\sqrt{2}+2=4+2\sqrt{2}\] |
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