Polygons

Apothem

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment and come from the ancient Greek ἀπόθεμα ("put away, put aside"), made of ἀπό ("off, away") and θέμα ("that which is laid down"), indicating a generic line written down. Regular polygons are the only polygons that have apothems. Because of this, all the apothems in a polygon will be congruent. For a regular pyramid, which is a pyramid whose base is a regular polygon, the apothem is the slant height of a lateral face; that is, the shortest distance from apex to base on a given face. For a truncated regular pyramid (a regular pyramid with some of its peak removed by a plane parallel to the base), the apothem is the height of a trapezoidal lateral face. For an equilateral triangle, the apothem is equivalent to the line segment from the midpoint of a side to the triangle's center. (Wikipedia).

Apothem
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Related pages

Perpendicular | Congruence (geometry) | Perimeter | Area | Polygon | Triangle center | Regular polygon | Trapezoid | Equilateral triangle | Plane (geometry) | Triangle | Pyramid (geometry) | Chord (trigonometry) | Radius | Sagitta (geometry)