Create a Python class Triangle. Each instance of this class takes 6 values Ax,Ay,Bx,By,Cx,Cy as arguments that represent the (x,y) coordinates for three points A, B, and C. In addition, overload the str() function so that we can print the triangle as "Triangle((Ax,Ay),(Bx,By),(Cx,Cy))" and create the following methods: Area, which returns the area of a triangle, Perimeter, which returns the perimeter of a triangle, Barycenter, which returns the center of a triangle, LongestSide, which returns the length of the longest side in the triangle, and IsRightTriangle, which returns True if a triangle is a right triangle or False if it is not a right triangle.

Include the Python code and the output returned by all methods for the triangle T, given by the points A = (3, -5), B = (15, 4), C = (-6,10).