A) \[3\sqrt{3}\,\,cm\]
B) \[6\sqrt{3}\,\,cm\]
C) \[3\sqrt{6}\,\,cm\]
D) 12 cm
Correct Answer: B
Solution :
ABCD is a parallelogram \[\therefore \] \[BC=AD=6\,cm\] and \[AB=DC=6\,cm\] Hence ABCD becomes a rhombus. \[\therefore \] Diagonals AC and BD bisect each other at right angle. \[\therefore \] \[OD=\frac{1}{2}BD=3\,cm\] From \[\Delta \,\,OCD,\,O{{C}^{2}}=C{{D}^{2}}-O{{D}^{2}}\] \[=36-9=27\] \[\therefore \] \[OC=3\sqrt{3}\] and \[AC=2.\,\,OC=6\sqrt{3}\]You need to login to perform this action.
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