A) \[25c{{m}^{2}}\]
B) \[30c{{m}^{2}}\]
C) \[36c{{m}^{2}}\]
D) \[24c{{m}^{2}}\]
E) \[48c{{m}^{2}}\]
Correct Answer: D
Solution :
Let D be the centre of circumcircle. \[\therefore \] \[BD=5\text{ }cm\] In \[\Delta ABC,\] \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] \[\Rightarrow \] \[100=A{{B}^{2}}+B{{C}^{2}}\] \[\Rightarrow \] \[A{{B}^{2}}=64\]\[\Rightarrow \]\[AB=8\] \[\therefore \]Area of \[\Delta ABC=\frac{1}{2}\times AB\times BC\] \[=\frac{1}{2}\times 8\times 6=24\,c{{m}^{2}}\]You need to login to perform this action.
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