🔺 Equilateral Triangle Area Calculator

Calculate the area, height, perimeter, inradius and circumradius of an equilateral triangle from its side length.

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Enter details

Fill in the details and click Calculate to see your results.


Also available in our Android app, with charts and full breakdown tables.

📘 About the Equilateral Triangle

All three sides of an equilateral triangle are equal and each interior angle is 60 degrees.

The altitude divides an equilateral triangle into two 30-60-90 triangles.

The calculator provides several standard properties from the single side length.

🧮 Formula

Area
A = √3 × a² / 4
Height
h = √3 × a / 2
Perimeter
P = 3a

Where

  • a = side length
  • A = √3a²/4
  • h = √3a/2
All lengths use the same unit.

✏️ Worked example

Equilateral triangle with side 10 cm

You enter
Side Length10 cm
You get
Triangle Area43.3013
Height8.66025
Perimeter30
Inradius2.88675
Circumradius5.7735

The area is about 43.3013 square centimetres and the height is about 8.66025 cm.

Try this example →

🧭 How to use this calculator

What you enter

  • Side Length (cm)

What you get

  • Triangle Area
  • Height
  • Perimeter
  • Inradius
  • Circumradius

💡 Useful relationships

  • The three sides are equal.
  • Each angle is 60 degrees.
  • The height is √3a/2.
  • The inradius is a√3/6.
  • The circumradius is a√3/3.

❓ Frequently asked questions

What is the area of an equilateral triangle?

Area equals √3 times side squared divided by 4.

What are the angles of an equilateral triangle?

All three angles are 60 degrees.

Can I calculate the height from the side?

Yes. Height equals √3 times the side divided by 2.

What happens if the side is doubled?

The area becomes four times as large because area depends on the square of the side.