A rectangular park is represented on a coordinate grid where the centre of a circular fountain is placed at the origin O(0,0). A bench B is situated 8 m east of the fountain and a lamp post L is 6 m north of the fountain. A dustbin D is located 10 m west of the fountain and 6 m south of the lamp post.
(i) Assign suitable ordered pairs to the points B,L and D.
(ii) Identify the quadrant in which each of the points B,L and D lies.
(iii) Find the distance between the bench and the lamp post.
(iv) Determine whether the points B,L and D can be the vertices of a right-angled triangle. Show your working clearly.