- 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.