Question

Demonstrați ca bc/a+ ca/b+ ab/c>= a+b+c

Answer 1

$\it m_a\geq m_g\\ \\ \\ \dfrac{1}{2}\bigg(\dfrac{bc}{a}+\dfrac{ca}{b}\bigg)\geq\sqrt{\dfrac{bc^2a}{ab}} \Rightarrow \dfrac{1}{2}\bigg(\dfrac{bc}{a}+\dfrac{ca}{b}\bigg)\geq c$