Equilateral Polygon
a polygon where all the sides have the same measure
An equilateral polygon is a polygon with all sides equal and all angles equal. Equilateral polygons are a special case of regular polygons. Regular polygons are polygons with all sides and angles equal.
Examples of equilateral polygons include equilateral triangles, squares, and regular hexagons. These polygons have sides of equal length and angles of equal measure.
Properties of equilateral polygons:
– All sides are equal in length
– All angles are equal in measure
– The sum of the interior angles can be found by using the formula: (n-2) x 180, where n is the number of sides. For example, an equilateral triangle has three sides, so its interior angles sum to (3-2) x 180 = 180 degrees.
– The exterior angles of an equilateral polygon are all equal in measure and can be found by dividing 360 degrees by the number of sides. For example, the exterior angle of a regular pentagon (a five-sided polygon) is 72 degrees.
Applications of equilateral polygons:
– Equilateral triangles are often used in construction and engineering, as they are the strongest and most stable shape for supporting weight and distributing force evenly.
– Equilateral polygons are used in tessellation, where shapes are repeated to fully cover a surface without any gaps or overlaps.
– Equilateral polygons can be used in art and design as elements of symmetry and balance.
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