A) \[2\sqrt{5}\]units
B) \[\sqrt{5}\]units
C) \[\frac{1}{\sqrt{5}}\]units
D) \[\frac{2}{\sqrt{5}}\]units
Correct Answer: A
Solution :
[a] Let the three vertices of rectangle ABCD be \[A(4,3),\]\[B(4,1)\]and \[C(0,1)\]. |
In right \[\Delta ABC,\] |
Length of diagonal \[AC=\sqrt{{{(0-4)}^{2}}+{{(1-3)}^{2}}}\] |
(By Pythagoras theorem) |
\[=\sqrt{16+4}=\sqrt{20}=2\sqrt{5}\] units |
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