Finding scale of rectangle inside larger rotated rectangle
Apologies if I'm poor at describing this problem.
I have a rectangle, A, of known size, that starts aligned to the x/y axes, and can rotate around its centre point.
For any given angle of rotation, I need to determine the maximum dimensions of a second rectangle, B, that:
- is inscribed inside A
- maintains the same proportions as A
- maintains alignment to the x/y axes
So, here A (the black rectangle) has been rotated through 30 degrees (the red rectangle). How do I determine the maximum size of B (the blue rectangle)?
Many thanks for any help.