The figure shows a right-angled triangle, HJK, drawn on a grid.
- HJL is a right-angled triangle with the same area as triangle HJK. Identify point L on the grid.
- HLM is an equilateral triangle. Identify point M on the grid such that it does not overlap with triangle HJK.
- Find the ratio of the area of triangle KLM to the area of triangle HJK.