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If DeltaABC, if (c+a)/12=(a+b)/14=(b+c)/...

If `DeltaABC,` if `(c+a)/12=(a+b)/14=(b+c)/18`, then find vaue of `(7r_(1)-r_(2))/(11r)` is

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`(c+a)/(12)=(a+b)/(14)=(b+c)/(18)=(s)/(11)`
`b+c=(18)/(11)s`
`implies2s-a=(18)/(11)s`
`impliess-a=(7)/(11)s`
`r_(1)=(Delta)/(s-a)=(11Delta)/(7s)=(11)/(7)r`
`a+c=(12s)/(11)`
`2s-b=(12s)/(11)`
`r_(r)=(Delta)/(s-b)=(11Delta)/(s)=11r`
`implies(7r_(1)-r_(2))/(11)=(11r-11r)/(11r)=0`
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