Problem:
A triangle has sides $\frac{29}{2}, 3, 15$. Determine the locations of the triangle's vertices and the three interior angles.
Answer:
Vertices: ${\{0,0\}, \{15,0\}, \left\{\frac{19}{24},\frac{\sqrt{4823}}{24}\right\}}$ 
Angles: ${\cos ^{-1}\left(\frac{19}{72}\right), \cos ^{-1}\left(\frac{341}{348}\right), \cos ^{-1}\left(-\frac{23}{348}\right)}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/triangles/45319.txt'}