An equilateral triangle is a polygon with three equal sides and three equal angles, each measuring 60 degrees. It is a fundamental shape in geometry that exhibits perfect symmetry and is both a special case of an isosceles triangle and a regular polygon.

Equilateral Triangle

equilateral triangle

A polygon is a two-dimensional geometric figure with a finite number of straight sides that are fully closed to form a shape. Polygons are categorized by the number of sides they have, such as triangles, quadrilaterals, and pentagons, and play a fundamental role in geometry and computer graphics.

polygon

three equal sides

three equal angles

60 degrees

fundamental shape in geometry

perfect symmetry

An isosceles triangle is a polygon with two sides of equal length, which also results in two angles being equal. This geometric property leads to various symmetrical characteristics and is foundational in understanding the principles of congruence and similarity in triangles.

isosceles triangle

A regular polygon is a geometric figure with all sides and angles equal, making it both equilateral and equiangular. This symmetry allows for straightforward calculations of its properties, such as area and perimeter, using its side length and number of sides.

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