Geometry Tool
Equilateral Triangle
Calculate area, perimeter, height, and radii for a triangle with three equal sides.
Area
43.3013
Height
8.6603
Perimeter
30.0000
Inradius
2.8868
Circumradius
5.7735
Σ The Formula
Area = (√3 / 4) × a² | h = (√3 / 2) × a
Real World Examples
Standard Side
Side of 10 units → Area: 43.30, Height: 8.66.
Geometric Design
Calculating dimensions for tiling or architectural structural elements.
# About This Calculator
An Equilateral Triangle is a regular polygon with three equal sides and three equal angles, each measuring exactly 60 degrees. Due to its symmetry, all its geometric centers (centroid, circumcenter, incenter) coincide at the same point.
This calculator provides all critical dimensions:
- Area: The 2D space enclosed by the sides.
- Height: The perpendicular distance from a vertex to the opposite side.
- Inradius: The radius of the largest circle that fits inside.
- Circumradius: The radius of the circle that passes through all vertices.
How To Use
- Enter the length of the **Side (a)**.
- The tool calculates the Area, Perimeter, and internal dimensions instantly.
- Toggle units by conceptualizing the side as cm, meters, or inches.
- Use the results for construction or geometry homework.
Frequently Asked Questions
Is every equilateral triangle isosceles?+
Yes. An isosceles triangle needs at least two equal sides. An equilateral triangle has three, so it satisfies the condition.
Can I find the side from the area?+
Yes, by rearranging the formula: Side = √(Area × 4 / √3).
Is Equilateral Triangle free to use?+
Yes, Equilateral Triangle on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Equilateral Triangle?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Equilateral Triangle are accurate for academic and professional use.
Can I use Equilateral Triangle on my phone?+
Yes! Equilateral Triangle is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
About
An Equilateral Triangle is a regular polygon with three equal sides and three equal angles, each measuring exactly 60 degrees. Due to its symmetry, all its geometric centers (centroid, circumcenter, incenter) coincide at the same point.
This calculator provides all critical dimensions:
- Area: The 2D space enclosed by the sides.
- Height: The perpendicular distance from a vertex to the opposite side.
- Inradius: The radius of the largest circle that fits inside.
- Circumradius: The radius of the circle that passes through all vertices.