planting trees riddle


A specialist Gardener asked by a Mathematics professor to plant four trees that are all equidistant from each other. How do he place the trees?

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    A Tetrahedron is the polyhedron where all points are equidistant to each other.
    So the man should grow the plants such that they form the tetrahedron.
    For ex: 3 plants at the base and 1 at the top of the mountain.

    Simply invert an equilatetal tetrahedron.
    Plant 3 plants in an equilateral triangle, then dig a hole in the center such that the base of the hole is the same distance from each of the 3 previous plants as they are from each other.
    Then plant the fourth plant at the base of the hole.

    SaintlyZero Pundit Answered on 1st September 2018.
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