Problem:
A angle-angle-side triangle has angles $\frac{41 \pi }{180}$ and $\frac{13 \pi }{60}$ and a side of length $8.5$. Determine the centroid, circumcenter, incenter, orthocenter, nine point center, and symmedian point of the triangle.
Answer:
NinePointCenter: $\{6.26662,3.23706\}$ 
Incenter: $\{6.20644,2.32049\}$ 
Orthocenter: $\{6.15358,7.59904\}$ 
Circumcenter: $\{6.37966,-1.12491\}$ 
SymmedianPoint: $\{6.13553,2.88811\}$ 
Centroid: $\{6.3043,1.78307\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/27110.txt'}