I think I made a mistake in my previous attempt. The solution below should get bigger triangles:
"https://drive.google.com/file/d/0Bzw1DJPOcejLaUpnT0xFMkRTRzF5Z1RzLUtSVUhGZ1NSd084/view?usp=sharing"; The triangle side length is exactly the same as the original rectangle width. I am not sure about the solution for any short rectangle. I will improve my hand-drawn draft later sometime. Sy
