Problem:
A triangle has sides $8.5, 11.25, 12.5$. Determine the centroid, circumcenter, incenter, orthocenter, nine point center, and symmedian point of the triangle.
Answer:
NinePointCenter: $\{7.33625,3.01572\}$ 
SymmedianPoint: $\{8.16208,3.28206\}$ 
Centroid: $\{6.97417,2.48605\}$ 
Incenter: $\{7.625,2.89076\}$ 
Orthocenter: $\{8.4225,4.60473\}$ 
Circumcenter: $\{6.25,1.42671\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/64626.txt'}