A Triangle Inequality

Algebra Level 5

Let a triangle with sides of length \(a,b,c\) have perimeter \(2\). What is the maximum value of \(k\) such that \[\dfrac{1-a}{b}+\dfrac{1-b}{c}+\dfrac{1-c}{a}\ge k\] is always true? Prove your claim.

×

Problem Loading...

Note Loading...

Set Loading...