Problem:
A side-angle-side triangle has sides $3.44$ and $5.31$ and an angle $56 {}^{\circ}$. Determine points to define lines for the triangle's altitude, cevian, median, and symmedian lines.
Answer:
Cevian: $\left(
\begin{array}{cc}
 4.43 & 0. \\
 2.03 & 1.71 \\
\end{array}
\right)$ 
Median: $\left(
\begin{array}{cc}
 4.43 & 0. \\
 2.03 & 1.71 \\
\end{array}
\right)$ 
Altitude: $\left(
\begin{array}{cc}
 4.43 & 0. \\
 2.59 & 2.18 \\
\end{array}
\right)$ 
Symmedian: $\left(
\begin{array}{cc}
 4.43 & 0. \\
 2.53 & 2.13 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/99659.txt'}