A) 15
B) 13/2
C) 15/2
D) 6
Correct Answer: B
Solution :
Let sides are \[a=13,b=12,\,c=5\]. Now, \[{{a}^{2}}={{b}^{2}}+{{c}^{2}}\] \[\Rightarrow \] \[{{(13)}^{2}}+{{(12)}^{2}}+{{5}^{2}}\] \[\Rightarrow \] \[169=169\] \[\Rightarrow \] \[\angle A={{90}^{o}}\] We know, \[R=\frac{a}{2\sin A}\] \[R=\frac{13}{2\,\,.\,\,\sin {{90}^{o}}}=\frac{13}{2}\]
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