Advanced Equilateral Triangle Calculator

Calculate all properties of equilateral triangles with interactive 3D visualizations and geometric analysis

📐 Triangle Input

Enter a known dimension to calculate all triangle properties

Side Length

Units

Show mathematical formulas

📊 Triangle Properties

Complete geometric analysis

Enter a triangle dimension to see all calculated properties

📈 Geometric Relationships

Visual representation of triangle properties

📊 Scale Comparison

Compare different triangle dimensions

Understanding Equilateral Triangles

An equilateral triangle is a triangle with all three sides equal in length and all three angles equal to 60 degrees. It's a special case of an isosceles triangle and has unique mathematical properties.

Key Properties

All sides are equal, all angles are 60°, and the triangle has three lines of symmetry and rotational symmetry.

Area Formula

Area = (√3/4) × side². This formula derives from the general triangle area formula using the 60° angles.

Height Formula

Height = (√3/2) × side. The height divides the triangle into two congruent 30-60-90 triangles.

Applications

Used in crystallography, architecture, engineering design, and tessellation patterns due to its stability and symmetry.