With usual notations, prove that in a triangle \( \mathrm{ABC} \) :...
With usual notations, prove that in a triangle \( \mathrm{ABC} \) :
\( \mathrm{P} \)
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(i) \( \quad a \cot A+b \cot B+c \cot C=2(R+r) \)
(ii) \( \frac{r_{1}}{(s-b)(s-c)}+\frac{r_{2}}{(s-c)(s-a)}+\frac{r_{3}}{(s-a)(s-b)}=\frac{3}{r} \)
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