General Triangle in Spherical Geometry

General Triangles in Spherical Geometry
Manipulate the general triangle in Spherical Geometry.[br]What properties do all Spherical triangles share?[br][br]Is the longest side always opposite the largest angle? Is the shortest side always opposite the smallest angle?[br][br]Is the sum of the measures of the interior angles constant? If so, what is it? If not, then what interval gives the possible range of values for the sum of the angles? Can you figure out what Excess, given above, is?[br]

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