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.