Parallel section to the base of a pyramid

A plane parallel to the base that intersects all side edges determines a polygonal section so that:

  • the side edges and height are divided in the same ratio;
  • the obtained section and the base are similar polygons;
  • the areas of these polygons are as well as the squares of their distances to the vertex.

Relations between the elements of a regular pyramid

Let's consider a regular hexagonal, side-edged pyramid l and base edge The:

Thus we have:

  • The base of the pyramid is a regular polygon inscribed in a circle of radius OB = R.

  • The lateral face of the pyramid is an isosceles triangle.

  • The VOB and VOM triangles are rectangles.

Next: Pyramid Area and Volume