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Question Number 152697 by mathdanisur last updated on 31/Aug/21

$$\mathrm{In}△\mathrm{ABC}\mathrm{prove}\mathrm{that}:$$$$\mathrm{\Sigma }\frac{({\mathrm{r}}_{\mathbf{a}}+{\mathrm{r}}_{\mathbf{b}})({\mathrm{r}}_{\mathbf{a}}+{\mathrm{r}}_{\mathbf{c}})}{{\mathrm{h}}_{\mathbf{b}}+{\mathrm{h}}_{\mathbf{c}}}⩾\frac{9\mathrm{r}}{2}$$

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