The Chebyshev center of a triangle is the center of the smallest circle that contains the triangle — also known as the **circumcenter** in the case of an acute triangle, or the point equidistant from the farthest vertices in degenerate cases. Since the triangle formed by $(0, 0)$, $(6, 0)$, and $(3, 4)$ is acute, the Chebyshev center coincides with the circumcenter. - Veritas Home Health