The figure shows a right-angled triangle, PQR, drawn on a grid.
- PQS is a right-angled triangle with the same area as triangle PQR. Identify point S on the grid.
- PRT is an equilateral triangle. Identify point T on the grid such that it does not overlap with triangle PQR.
- Find the ratio of the area of triangle PQR to the area of triangle PRT.