Problem:
A side-angle-side triangle has sides $12.25$ and $4.5$ and an angle $\frac{67 \pi }{180}$. Determine the centroid, circumcenter, incenter, orthocenter, nine point center, and symmedian point of the triangle.
Answer:
Orthocenter: $\{-0.11428,-0.289452\}$ 
Centroid: $\{3.72185,1.49952\}$ 
Circumcenter: $\{5.63991,2.394\}$ 
NinePointCenter: $\{2.76282,1.05227\}$ 
SymmedianPoint: $\{0.718798,1.92363\}$ 
Incenter: $\{1.76491,1.81032\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/29995.txt'}