Understanding Equilateral Polygons | Properties, Examples, and Angle Calculations

equilateral polygon

An equilateral polygon is a polygon in which all of its sides are of equal length

An equilateral polygon is a polygon in which all of its sides are of equal length. In addition to having equal side lengths, the angles between the sides are also equal in an equilateral polygon. Therefore, all angles in an equilateral polygon are congruent.

The most common example of an equilateral polygon is an equilateral triangle, which has three equal sides and three equal angles of 60 degrees each.

There are also other equilateral polygons with more sides, such as the equilateral quadrilateral (square), equilateral pentagon, equilateral hexagon, and so on. In an equilateral polygon, the number of sides will determine the number of angles, and all angles will be congruent.

Equilateral polygons have several interesting properties. For instance, since all sides are equal, any line drawn from the center of the polygon to one of its vertices will bisect the angle at the vertex and will also be a radius of the circumcircle (circle passing through all the vertices of the polygon).

Moreover, the sum of the interior angles in an equilateral polygon can be determined by using the formula: (n-2) * 180 degrees, where n represents the number of sides. For example, in an equilateral triangle (n=3), the sum of the interior angles is (3-2) * 180 degrees, which equals 180 degrees.

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