Question Number 185522 by Mingma last updated on 23/Jan/23
Commented by Frix last updated on 23/Jan/23
$$\mathrm{This}\:\mathrm{only}\:\mathrm{requires} \\ $$$${r}=\frac{{D}}{\mathrm{2}\left({a}+{b}+{c}\right)} \\ $$$${R}=\frac{{abc}}{{D}} \\ $$$${D}=\sqrt{\left({a}+{b}+{c}\right)\left({b}+{c}−{a}\right)\left({a}+{c}−{b}\right)\left({a}+{b}−{c}\right)} \\ $$