A) \[36\sqrt{3}\,\,\text{cm}\]
B) \[35\sqrt{2}\,\,\text{cm}\]
C) \[12\sqrt{3}\,\,\text{cm}\]
D) \[36\sqrt{2}\,\,\text{cm}\]
Correct Answer: D
Solution :
\[BF=\frac{1}{2}AB=\frac{1}{2}\times 6x=3x\] Area of \[\Delta FBE=\frac{1}{3}\times 3x\times 2x=3{{x}^{2}}\] \[\therefore \]\[3{{x}^{2}}=108\] \[{{x}^{2}}=36\]\[\Rightarrow \]\[x=6\,\,\text{cm}\] \[\therefore \]\[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}=2A{{B}^{2}}=2\,\,{{(36)}^{2}}\]\[(\because AB=36)\] \[AC=36\sqrt{2}\,\,\text{cm}\]You need to login to perform this action.
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