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MathNet 2010 — Part 01 Question 88

Math Olympiad Vault · MathNet 2010 — Part 01

Question 88

Is it possible to mark $6$ distinct points ($1$ red, $2$ blue, and $3$ green points) on a plane so that the sum of the distances between the red point and the blue points is $8$, the sum of the distances between the red point and the green points is $6$, and the sum of the distances between the blue points and the green points is $9$?

(S. Mazanik, I. Voronovich)