For problems 1 - 5, write a coordinate proof. 1. Triangle ABC has vertices A(5, 12), B(13, 13), and C(11, 5). Show that triangle ABC is a scalene triangle. 2. Determine whether the triangle is scalene, isosceles, or equilateral. 3 - 2 - (0, 1) -3 -2 1 2 3 (4 0 ) 3. Triangle TRI has vertices T(15, 6), R(5, 1), and I(5, 11). Prove that triangle TRI is isosceles. 4. Prove that triangle ABC with vertices A(1, 1), B(4, 5) and C(4, 1) is a right triangle. 5. Triangle SUE has vertices S(-2, -4), U(2, -1), and E(8, -9). Prove that triangle SUE is not isosceles