If a,b,c are the sides of the triangle ABC,such that (1+(b-c)/a)a *(1+(c-a)/b)b *(1+(a-b)/c)c>= 1then the triangle must bea. right angledb. isocelesc. obtuse angledd.Equilateral

Dear Vaibhav

(1+(b-c)/a)^a *(1+(c-a)/b)^b *(1+(a-b)/c)^c>= 1

every bracket is less than or equal to 1

but right hand side is greater than equal to 1

so its only possible when each bracket equal to 1

(1+(b-c)/a)^a  =1

1+(b-c)/a =1

  b=c

 similerl from other brackets

 c=a

 a=b

 tiangle is equileteral

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