Problem:
A angle-angle-side triangle has angles $87 {}^{\circ}$ and $51 {}^{\circ}$ and a side of length $1.5$. Determine points to define lines for the triangle's altitude, cevian, median, and symmedian lines.
Answer:
Cevian: $\left(
\begin{array}{cc}
 1.01 & 0. \\
 0.03 & 0.58 \\
\end{array}
\right)$ 
Altitude: $\left(
\begin{array}{cc}
 1.01 & 0. \\
 0. & 0.05 \\
\end{array}
\right)$ 
Symmedian: $\left(
\begin{array}{cc}
 1.01 & 0. \\
 0.02 & 0.36 \\
\end{array}
\right)$ 
Median: $\left(
\begin{array}{cc}
 1.01 & 0. \\
 0.03 & 0.58 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/50741.txt'}