Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 8 / b / i

Every Euclidean distance obeys the triangle inequality. The three recorded entries $d_{14}=0.67$, $d_{16}=2.88$ and $d_{46}=4.37$ violate it:At least one of $0.67,2.88,4.37$ must be incorrect. Two are in the final row as required. The gap is far larger than any possible rounding of entries to two decimal places.