The figure shows a right-angled triangle, JKL, drawn on a grid.
- JKM is a right-angled triangle with the same area as triangle JKL. Identify point M on the grid.
- JMN is an equilateral triangle. Identify point N on the grid such that it does not overlap with triangle JKL.
- Find the ratio of the area of triangle LMN to the area of triangle JKL.