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 )


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

$I n △ A B C p r o v e t h a t$ $\frac{a}{b} + \frac{b}{c} + \frac{c}{a} + \frac{R^{2}}{4 r^{2}} ⩾ 1 + \frac{b^{2}}{a^{2}} + \frac{c^{2}}{b^{2}} + \frac{a^{2}}{c^{2}}$
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