Why is faith in Christ's righteousness important for salvation?

Faith in Christ's righteousness is paramount because, as Romans 3:19-24 asserts, all have sinned and fall short of the glory of God. Our works cannot justify us before God; only through faith in Christ, who fulfilled the law and provided the perfect righteousness, can we be justified. The righteousness of God is revealed in the Gospel, which is accessible to all who believe. It is only through Christ that we receive the necessary righteousness to stand before a holy God and avoid His wrath. Thus, faith in Christ's righteousness is not just important; it is the only means by which we can achieve salvation.