Question

Prove the following inequality for any triangle of sides a,b,c.

-1 < a/b + b/c + c/a - (b/a + a/c + c/b) <1

Answer 1

\[-1 < \frac{ a }{ b }+\frac{b }{ c }+\frac{ c }{a }-(\frac{ b }{a }+\frac{ a }{c }+\frac{c }{ c }) <1\]

Answer 2

Please help. I need the answer for tomorrow. Should I use Sine Law? Thanks.

Answer 3

yes you can use

Answer 4

I've tried it and I'm stuck. How should I go about it?

Answer 5

OK