he realized he couldn't make progress and offered a draw.
Endgame Draw
He shouldn't have. It's a win (check it out on the Nalimov tablebase).
Yeah, I know it's not a draw because White still has a moveable Bishop and there is absolutely NO way he could win so why would he accept the draw?
ADK
The initial position is a win for black.
I would recommend to:
* leave the second pawn back on h6. One can advance this pawn to h5, but DO NOT advance this pawn to h4 anytime soon. There are positions which are a draw with rook vs bishop and a pawn on h4.
* play ...Kg4, ...h2 (Bxh2) and ...Kh3
* drive the king out of the corner with a maneuver such as
...Rh2+,
Kg1 R_attacks_bishop,
Bmoves R_gives_check_on_first_rank.
this will black allow to make decisive progress and win this endgame.
------
Note that interestingly, there are positions with R+pawn vs bishop which are a draw if the pawn is an a, c, f or h-pawn, if this pawn is too far advanced and if the bishop has "the wrong colour".
The initial position is a win for black.
I would recommend to:
* leave the second pawn back on h6. One can advance this pawn to h5, but DO NOT advance this pawn to h4 anytime soon. There are positions which are a draw with rook vs bishop and a pawn on h4.
* play ...Kg4, ...h2 (Bxh2) and ...Kh3
* drive the king out of the corner with a maneuver such as
...Rh2+,
Kg1 R_attacks_bishop,
Bmoves R_gives_check_on_first_rank.
this will black allow to make decisive progress and win this endgame.
------
Note that interestingly, there are positions with R+pawn vs bishop which are a draw if the pawn is an a, c, f or h-pawn, if this pawn is too far advanced and if the bishop has "the wrong colour".
i will have to aggre with you
Sorry, my first recommendation on how to make progress here gave a continuation that is a somewhat longer way to win than necessary here.
There is even a winning method with the king still in the corner, which is faster than what I had first been thinking of:
(It requires quite a bit of subtle maneuvering along the way)
From a 5min blitz game I played in school, very easy puzzle. It is amazing that this is a draw with so much material from black.