Mate in 5 Exercise 33

White plays and wins in 2 moves https://lichess.org/fIB8yxvu

1. Kg6 Rd1 2. Rf8#

The analysis board does checkmate in 5 moves

1. Kg6 Rg8+ 2. Kh6 Rg6+ 3. Kxg6 Kg8 4. Rf2+ Kh8 5. Rh2#

Using the rook to check extends the game.

Source:

https://www.amazon.com/Chess-Puzzles-Advanced-Expert-Level/dp/B0917YQZP1