In the coordinate plane, consider the points A(1, 2), B(4, 6), and C(3, 3). These points form a triangle.
Determine the type of triangle that is formed by these three points based on the distances between the vertices.
To classify the triangle, compute the lengths of the sides using the distance formula, which is given by:
$$ d = ext{sqrt}((x_2 - x_1)^2 + (y_2 - y_1)^2) $$