Problem:
A triangle has sides $5.01, 13.46, 14.81$. Determine points to define lines for the triangle's altitude, cevian, median, and symmedian lines.
Answer:
Altitude: $\left(
\begin{array}{cc}
 14.81 & 0. \\
 13.13 & 4.7 \\
\end{array}
\right)$ 
Median: $\left(
\begin{array}{cc}
 14.81 & 0. \\
 6.34 & 2.27 \\
\end{array}
\right)$ 
Cevian: $\left(
\begin{array}{cc}
 14.81 & 0. \\
 6.34 & 2.27 \\
\end{array}
\right)$ 
Symmedian: $\left(
\begin{array}{cc}
 14.81 & 0. \\
 11.37 & 4.07 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/16827.txt'}