  Richmond and Richmond (Amer. Math. Monthly 104 (1997), 713--719) proved the
following theorem: If, in a metric space with at least five points, all
triangles are degenerate, then the space is isometric to a subset of the real
line. We prove that the hypothesis is unnecessarily strong: In fact,
$\Theta(n^2)$ suitably placed degenerate triangles suffice.
