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MathNet 2010 — Part 01 Question 81

Math Olympiad Vault · MathNet 2010 — Part 01

Question 81

Is it possible to mark 8 distinct points (1 red, 3 blue, and 4 green points) on a plane so that the sum of the distances between the red point and the blue points is 6, the sum of the distances between the red point and the green points is 16, and the sum of the distances between the blue points and the green points is 56?