In-ABC-prove-that-a-b-b-c-c-a-R-2-4r-2-1-b-2-a-2-c-2-b-2-a-2-c-2-

Question Number 163588 by HongKing last updated on 08/Jan/22

I n △ A B C p r o v e t h a t

\frac{a}{b} + \frac{b}{c} + \frac{c}{a} + \frac{R^{2}}{4 r^{2}} ⩾ 1 + \frac{b^{2}}{a^{2}} + \frac{c^{2}}{b^{2}} + \frac{a^{2}}{c^{2}}