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A tetrahedron of 50 mm edge has, in its simple position resting on a face, a plan that is

  • A.an equilateral triangle of 43.3 mm side
  • B.an equilateral triangle of 50 mm side
  • C.a square of 50 mm side
  • D.a circle of 50 mm diameter

Answer: B

Correct answer: an equilateral triangle of 50 mm side

A regular tetrahedron has four equilateral triangular faces of equal edge, so resting on any face puts that face flat on the horizontal plane, where it projects at true size - an equilateral triangle of 50 mm side. The fourth vertex projects into the centroid of that triangle, and the three edges rising to it appear as lines drawn to it.

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