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A triangle $A B C$ , is such that $b > a > c$ , Then

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$r < r_{1} < r_{2} < r_{3}$

$r < r_{3} < r_{1} < r_{2}$

$r_{2} < r < r_{3} < r_{1}$

$r_{1} < r_{2} < r_{3} < r$

answer is C.

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Detailed Solution

$b > a > c \Rightarrow - b < - a < - c$

$\begin{array}{l} \Rightarrow s - b < s - a < s - c < s \\ \Rightarrow∴ \frac{Δ}{s - b} > \frac{Δ}{s - a} > \frac{Δ}{s - c} > \frac{Δ}{s} \\ r < r_{3} < r_{1} < r_{2} \end{array}$

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