Let \( a, b \) and \( c \) be the length of sides of a triangle \( A B C \) such the \( \frac{a+... VIDEO
Let \( a, b \) and \( c \) be the length of sides of a triangle \( A B C \) such the \( \frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9} \). If \( \mathrm{r} \) and \( \mathrm{R} \) are the radius of incircle and radius of circumcircle of thetriangle \( \mathrm{ABC} \), respectively then the value of \( \frac{R}{r} \) is equal to
(a) \( \frac{5}{2} \)
(b) 2
(c) \( \frac{3}{2} \)
(d) 1
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