Problem:
A triangle has sides $10., 9.5, 17.25$. Determine points to define lines for the triangle's altitude, cevian, median, and symmedian lines.
Answer:
Altitude: $\left(
\begin{array}{cc}
 17.25 & 0. \\
 13.3 & 7.25 \\
\end{array}
\right)$ 
Median: $\left(
\begin{array}{cc}
 17.25 & 0. \\
 4.17 & 2.27 \\
\end{array}
\right)$ 
Symmedian: $\left(
\begin{array}{cc}
 17.25 & 0. \\
 6.24 & 3.4 \\
\end{array}
\right)$ 
Cevian: $\left(
\begin{array}{cc}
 17.25 & 0. \\
 4.17 & 2.27 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/50367.txt'}