For the vertices adjacent to V₃

dist(V₀, V₂) = dist(V₀, V₃) + dist(V₃, V₂) = 2 + 3 = 5

dist(V₀, V₄) = dist(V₀, V₃) + dist(V₃, V₄) = 2 + 8 = 10

dist(V₀, V₅) = dist(V₀, V₃) + dist(V₃, V₅) = 2 + 7 = 9