How do we know that Christ is our righteousness according to the Bible?

Christ being our righteousness is a significant aspect of the gospel. In 1 Corinthians 1:30, Paul declares that Christ is made unto us wisdom, righteousness, sanctification, and redemption. This means that Christ's righteousness is imputed to believers, allowing us to stand justified before God. It illustrates that our own efforts at righteousness are futile, as Paul argues in Galatians that if righteousness were attainable through the law, then Christ died for nothing. Thus, it is through Christ’s perfect obedience and sacrifice that we are declared righteous in God’s eyes.