Disappearing Square II

Rearrange the pieces of a triangle into another triangle with the same dimensions and watch a square disappear. Where did it go?

Steps

1. Cut out the pieces from the template.
   
2. Rearrange them as shown. The new triangle has the same dimensions, but no longer has a square cut out of it.
   

Notes

• This puzzle and others like it use numbers from the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, ...). The dimensions of the large triangles and the pieces that compose them are Fibonacci numbers.