A) \[\frac{12\times 3}{\sqrt{5}}\]
B) \[12\times 3\times \sqrt{5}\]
C) \[\frac{12\times 3}{\sqrt{7}}\]
D) \[12\times 3\times \sqrt{7}\]
Correct Answer: C
Solution :
From figure tan \[C=\frac{r}{12}\] or \[r=12\tan C\] or \[r=\frac{12\sin C}{\sqrt{1-{{\sin }^{2}}C}}\] \[r=\frac{12\times \frac{1}{\mu }}{\sqrt{1-\frac{1}{{{\mu }^{2}}}}}=\frac{12}{\sqrt{{{\mu }^{2}}-1}}=\frac{12}{\sqrt{{{\left( \frac{4}{3} \right)}^{2}}-1}}\] i.e., \[r=\frac{12\times 3}{\sqrt{7}}\]You need to login to perform this action.
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