04/03/07 14:55
√{a^2+(b-1)^2}+√{b^2+(c-1)^2}+√{c^2+(a-1)^2}
>= (|a|+|b-1|)/√2 + (|b|+|c-1|)/√2 + (|c|+|a-1|)/√2
= {(|a|+|a-1|) + (|b|+|b-1|) + (|c|+|c-1|)}/√2
>= 3/√2
04/03/07 14:55
√{a^2+(b-1)^2}+√{b^2+(c-1)^2}+√{c^2+(a-1)^2}
>= (|a|+|b-1|)/√2 + (|b|+|c-1|)/√2 + (|c|+|a-1|)/√2
= {(|a|+|a-1|) + (|b|+|b-1|) + (|c|+|c-1|)}/√2
>= 3/√2