A) 1
B) 2
C) \[\sqrt{3}/2\]
D) \[\sqrt{3}\]
Correct Answer: D
Solution :
\[\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}\] \[\Rightarrow \]\[\frac{\cos A}{K\sin A}=\frac{\cos B}{K\sin B}=\frac{\cos C}{K\sin C}\](by sin rule) \[\Rightarrow \] \[\cot A=\cot B=\cot C\] \[\Rightarrow \] \[A=B=C=60{}^\circ \] \[\Rightarrow \]\[\Delta \]ABC is an equilateral Hence, \[\Delta =\frac{\sqrt{3}}{4}{{a}^{2}}=\frac{\sqrt{3}}{4}\times 4=\sqrt{2}\] \[(\because a=2)\]You need to login to perform this action.
You will be redirected in
3 sec