Imagine you are the young teenage sensation, Bobby Fischer. What would you do to exploit the weakness in white's king position? Does black have a move that leads to checkmate?
The answer is Rxc3! Fischer sacrificed his rook for a pawn. If 1.bxc3, then Qf2 is mate. If 1.Rxa2, then the answer is a bit more difficult. Black first plays 1...Rf3+ and then White can get checkmated if he play 2.Kg2 by Qf2+ followed by 3...Rxg3 with a mating net. If white resists with 2.Ke2, then black resists with Rf2+ followed by 3...Qe3+ if white plays 3.Ke1 or 3...Qxa2 (rook) if White plays 3.Kd1, with a winning attack.
The answer is Rxc3! Fischer sacrificed his rook for a pawn. If 1.bxc3, then Qf2 is mate. If 1.Rxa2, then the answer is a bit more difficult. Black first plays 1...Rf3+ and then White can get checkmated if he play 2.Kg2 by Qf2+ followed by 3...Rxg3 with a mating net. If white resists with 2.Ke2, then black resists with Rf2+ followed by 3...Qe3+ if white plays 3.Ke1 or 3...Qxa2 (rook) if White plays 3.Kd1, with a winning attack.