Exploring Equilateral Polygons: Definition, Examples, and Angle Calculation

equilateral polygon

An equilateral polygon is a polygon with all sides of equal length

An equilateral polygon is a polygon with all sides of equal length. In other words, all the angles and sides of the polygon are congruent.

To understand equilateral polygons better, let’s explore some specific examples:

1. Equilateral Triangle: This is the simplest equilateral polygon, consisting of three sides of equal length. Since the sum of angles in a triangle is 180 degrees, each angle in an equilateral triangle measures 60 degrees.

2. Equilateral Quadrilateral (Square): A square is a special type of equilateral polygon with four sides of equal length. Each internal angle of a square measures 90 degrees.

3. Equilateral Pentagon: A regular pentagon can also be an equilateral polygon if all its sides are of equal length. The sum of the internal angles in a regular pentagon is 540 degrees, so each angle measures 108 degrees.

4. Equilateral Hexagon: Like any other regular polygon, a hexagon can be equilateral if all its sides are of equal length. A regular hexagon has internal angles measuring 120 degrees, and the sum of internal angles is 720 degrees.

To find the interior angle of any equilateral polygon, you can use the formula:

Interior Angle = (n – 2) * (180 / n)

In this formula, “n” represents the number of sides of the polygon. For example, in the case of an equilateral pentagon, the formula would be:

Interior Angle = (5 – 2) * (180 / 5)
Interior Angle = 3 * 36
Interior Angle = 108 degrees

In summary, an equilateral polygon is a polygon with all sides and angles congruent. The size of the angle depends on the number of sides, and you can calculate it using the formula mentioned above.

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