altura
$$
\begin{aligned}
h_a &= b \cdot\sin\gamma = c \cdot\sin\beta \\ \\
h_b &= a \cdot\sin\gamma = c \cdot\sin\alpha \\ \\
h_c &= a \cdot\sin\beta = b \cdot\sin\alpha
\end{aligned}
$$
$$
\begin{aligned}
a &= \sqrt{b^2 + c^2 - 2 \cdot b c \cdot\cos\alpha} \\ \\
b &= \sqrt{a^2 + c^2 - 2 \cdot a c \cdot\cos\beta} \\ \\
c &= \sqrt{a^2 + b^2 - 2 \cdot a b \cdot\cos\gamma}
\end{aligned}
$$
