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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 >= 1 then the triangle must be a. right angled b. isoceles c. obtuse angled d.Equilateral

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>= 1


then the triangle must be


a. right angled


b. isoceles


c. obtuse angled


d.Equilateral

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

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)=1

1+(b-c)/a =1

  b=c

 similerl from other brackets

 c=a

 a=b

 tiangle is equileteral

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