Problem:
A side-angle-side triangle has sides $6.$ and $7.5$ and an angle $\frac{23 \pi }{36}$. Determine points to define lines for the triangle's altitude, cevian, median, and symmedian lines.
Answer:
Altitude: $\left(
\begin{array}{cc}
 11.41 & 0. \\
 8.82 & 4.78 \\
\end{array}
\right)$ 
Median: $\left(
\begin{array}{cc}
 11.41 & 0. \\
 3.3 & 1.79 \\
\end{array}
\right)$ 
Symmedian: $\left(
\begin{array}{cc}
 11.41 & 0. \\
 5.17 & 2.8 \\
\end{array}
\right)$ 
Cevian: $\left(
\begin{array}{cc}
 11.41 & 0. \\
 3.3 & 1.79 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/98696.txt'}