Equilateral Triangle Formulas

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Equilateral Triangle

Area
A = (√3 ⁄ 4) a2
Height
h = (√3 ⁄ 2) a
Perimeter
P = 3a
  • a side length
Download PDF sheetPDF · A4 · 1 page · 121 KB

Equilateral Triangle formulas explained

All three sides are equal and every angle is 60°. Area, height and perimeter depend only on the side length. Below are all the equilateral triangle formulas with what each letter means, a worked example and a free calculator.

  • Area: A = (√3 ⁄ 4) a²
  • Height: h = (√3 ⁄ 2) a
  • Perimeter: P = 3a

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Worked example: area of a equilateral triangle

Given Side a = 6 cm, substitute the values into each equilateral triangle formula:

  • A = (√3 ⁄ 4) × 6² = 15.59 cm²
  • h = (√3 ⁄ 2) × 6 = 5.2 cm
  • P = 3 × 6 = 18 cm
Equilateral Triangle Formula SheetFormulas, variables, a worked example and practice questions with answers.PDF · A4 · 1 page · 121 KBDownload PDFOpen

Equilateral Triangle formulas FAQ

What is the formula for the area of a equilateral triangle?

The area of a equilateral triangle is A = (√3 ⁄ 4) a², where a is the side length.

What is the formula for the height of a equilateral triangle?

The height of a equilateral triangle is h = (√3 ⁄ 2) a, where a is the side length.

What is the formula for the perimeter of a equilateral triangle?

The perimeter of a equilateral triangle is P = 3a, where a is the side length.

Can I download the equilateral triangle formulas as a PDF?

Yes. Use the Download PDF button on this page for a free printable equilateral triangle formula sheet with a worked example and practice questions.

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