Problem #1

• Given n ≥ 3, show how to place n points in the plane, so that the distance between any two points is irrational, but the area of the triangle formed by any three points is a (positive) rational number.

• Given n ≥ 3, show how to place n points in the plane, so that the distance between any two points is rational, but the area of the triangle formed by any three points is irrational.

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