Upper Bound

Geometry Level 3

If a,b,c be the sides of a triangle. What is the best upper bound for the given expression: a b + c \frac{a}{b+c} + b c + a \frac{b}{c+a} + c a + b \frac{c}{a+b} ?


The answer is 2.

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1 solution

Upper bound of the given expression is 2 plus any one of the fractions. As an integer, it is 2

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