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Math • Equilateral Triangle Calculator

Equilateral Triangle Calculator

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

Area (√3/4 × s²)
27.713
Perimeter (3 × s)
24.00
Height (√3/2 × s)
6.928
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Calculation Guide & Reference

Equilateral Triangle Area & Height Mathematics

Equilateral triangle calculator computes the area, height, and perimeter of an equilateral triangle from its side length.

Standardized Mathematical Formula
Area = (√3/4) × s² | Height = (√3/2) × s

An equilateral triangle has all three sides and angles equal (60° each). It's a special case of a regular polygon with n=3, so its area and height formulas simplify neatly in terms of √3.

Variables:
s:Length of each (equal) side
How It Works (Step-by-Step)
  • 1Enter the side length of the equilateral triangle.
  • 2View the resulting area, perimeter, and height.
Real-World Numerical Example
An Equilateral Triangle with Side Length 8

An equilateral triangle has a side length of 8 units.

•Area: (√3/4) × 8² = 0.433 × 64 ≈ 27.71 square units.
•Height: (√3/2) × 8 ≈ 6.93 units.
•Perimeter: 3 × 8 = 24 units.
Result: The triangle has an area of approximately 27.71 square units, a height of about 6.93 units, and a perimeter of 24 units.
Calculation Best Practices & Tips
Examine the discriminant (b² - 4ac) before solving quadratics to instantly know if roots are real, distinct, repeated, or complex.
In statistical analysis, always check both the mean and median to identify if data distribution is skewed by outliers.
When calculating percentage changes, ensure you divide by the original starting baseline value: ((New - Old) / Old) * 100.

Frequently Asked Questions (FAQ)

All three interior angles are exactly 60°, since the total (180°) is split evenly across three equal angles.

An equilateral triangle has all three sides equal; an isosceles triangle has only two sides equal. Every equilateral triangle is technically also isosceles, but not every isosceles triangle is equilateral.

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