James Chen TMUA Paper 2 · Question 19

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James Chen TMUA Paper 2 · Q19

Paper 2Geometry

An equilateral triangle with side-length $1$ is drawn, and $5$ points are plotted in or on the triangle. What is the minimum value of $d$ such that at least two points must be no further than $d$ apart, no matter the configuration of the points?

0.25

\dfrac{\sqrt2}{2}

1

\dfrac{\sqrt3}{2}

0.5

\sqrt2

\sqrt3

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