A) 4
B) 5
C) 6
D) 7
Correct Answer: A
Solution :
\[a=5k,\,b=6k\] and \[c=5k\] \[s=\frac{a+b+c}{2}\]\[=\frac{5k+6k+5k}{2}=8k\] \[r=\frac{\Delta }{s}=\sqrt{\frac{s(s-a)\,(s-b)\,(s-c)}{s}}\] \[r=\sqrt{\frac{8k\,(8k-5k)\,(8k-6k)\,(8k-5k)}{8k}}\] \[r=\frac{3k}{2}\Rightarrow k=\frac{2r}{3}=\frac{2\times 6}{3}=4\].
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