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Question Number 173709 by dragan91 last updated on 16/Jul/22

$$\mathrm{In}\mathrm{triangle}△\mathrm{ABC}\mathrm{prove}:$$ $$\cos \left(\measuredangle \frac{\mathrm{A}}{2}\right)>\frac{1}{4}\cdot \frac{2\mathrm{a}+\mathrm{b}+\mathrm{c}}{\sqrt{\mathrm{R}(\mathrm{R}+{2\mathrm{r}}_{\mathrm{a}})}}$$

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