Here is the problem I'm trying to solve for my game.
I have this scenario:
I'm trying to solve for the position and size of the green rectangle. The circle is at 50%, 40% of the screen and its radius is proportional to the height of the screen.
The green rectangle must always be 10 pixels away from the bottom. Its left corner must be 10 pixels away also. And as can be seen in the image, the distance from the top right corner until the rectangle touches the circle is 10 pixels also.
Another constraint is that the green rectangle must always be 3 times wider than its height (aspect ratio).
Given these constraints, how can I solve for the position and size of the green rectangle?
Essentially, the Game Window can have a bunch of different aspect ratios so the green rectangle must look good in any of these situations.