1). Given a triangle with vertices at \((-1, 2)\), \((3, -2)\), and \((5, 4)\), find the equation of the median from vertex A to side BC.
2). Calculate the length of the median from vertex B to side AC in a triangle with vertices at \((0, 0)\), \((6, 0)\), and \((3, 8)\).
3). Find the coordinates of the midpoint of the median from vertex C to side AB in a triangle with vertices at \((-2, 1)\), \((4, -3)\), and \((0, 5)\).
4). Determine the slope of the median from vertex A to side BC in a triangle with vertices at \((2, 3)\), \((7, 1)\), and \((5, 6)\).
5). Given a triangle with vertices at \((1, -1)\), \((-3, 4)\), and \((6, 2)\), find the length of the median from vertex B to side AC.
6). Calculate the equation of the median from vertex C to side AB in a triangle with vertices at \((-1, -2)\), \((2, 4)\), and \((4, -3)\).
7). Find the coordinates of the midpoint of the median from vertex A to side BC in a triangle with vertices at \((-3, 1)\), \((5, -2)\), and \((1, 4)\).
8). Determine the length of the median from vertex B to side AC in a triangle with vertices at \((0, 0)\), \((8, 0)\), and \((4, 6)\).
9). Given a triangle with vertices at \((2, -1)\), \((1, 3)\), and \((7, 2)\), find the slope of the median from vertex C to side AB.
10). Calculate the equation of the median from vertex B to side AC in a triangle with vertices at \((-2, 1)\), \((3, -5)\), and \((-1, 4)\).
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