Attack in the Endgame!

Yesterday I left you with this chess position:

The task was to decide what White should play. The most normal looking move, at first glance, is 34.h3, preserving the extra pawn. The problem is that 34...Bxc3 then gives Black some drawing chances in the pawn down rook endgame.

Petrosian instead uncorked the powerful 34.Ne4!. By centralizing his knight, he avoids its exchange for the passive bishop on a5 and prepares an attack with three active pieces: King, rook, and knight. This strikes me as an excellent example of ignoring the opponent's threat, making the move you really want to play work. It also shows the acute feeling strong players have for the importance of piece activity relative to material. Black played 34...Rxh2, with the following position:

How would you continue for White?