Question
$r_{1} r_{2} r_{3}=r^{3} \cot ^{2} \frac{A}{2} \cot ^{2} \frac{B}{2} \cot ^{2} \frac{C}{2}$
Step 1
This simplifies to $\frac{\Delta^3}{(s - a)(s - b)(s - c)}$. Multiplying and dividing by $s$, we get $\frac{s\Delta^3}{s^2(s - a)(s - b)(s - c)}$, which simplifies to $\frac{s\Delta}{s^2}$. Show more…
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$a \cot A+b \cot B+c \cot C=2(R+r)$
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