A) \[12cm\]
B) \[13cm\]
C) \[14cm\]
D) \[17cm\]
Correct Answer: B
Solution :
[b] Let ABCD be a rhombus, whose diagonals AC and BD bisect each other at O. |
Then, \[OA=12\,cm,\] \[OB=5\,cm\] |
and \[\angle AOB=90{}^\circ ,\] |
\[\therefore \] In \[\Delta AOB,\] by Pythagoras theorem, |
\[A{{B}^{2}}=O{{A}^{2}}+O{{B}^{2}}={{(12)}^{2}}+{{(5)}^{2}}=144+25=169\]\[\Rightarrow \,\,\,\,AB=\sqrt{169}=13\,cm.\] |
\[\therefore \] The length of each side of rhombus is \[13\,cm.\] |
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