Problem:
A angle-side-angle triangle has angle $7 {}^{\circ}$, a side of length $10.$ and an angle of measure $64 {}^{\circ}$. Determine the centroid, circumcenter, incenter, orthocenter, nine point center, and symmedian point of the triangle.
Answer:
Circumcenter: $\{5.,-1.72164\}$ 
Centroid: $\{6.47833,0.386156\}$ 
SymmedianPoint: $\{9.61923,0.6033\}$ 
NinePointCenter: $\{7.21749,1.44005\}$ 
Orthocenter: $\{9.43498,4.60175\}$ 
Incenter: $\{9.10846,0.557097\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/86717.txt'}