Category:Sine of Half Angle in Triangle

This category contains pages concerning Sine of Half Angle in Triangle:

Let $\triangle ABC$ be a triangle whose sides $a, b, c$ are such that $a$ is opposite $A$, $b$ is opposite $B$ and $c$ is opposite $C$.

Let $s$ denote the semiperimeter of $\triangle ABC$.

Then:

$\sin \dfrac C 2 = \sqrt {\dfrac {\paren {s - a} \paren {s - b} } {a b} }$