Equilateral Triangle Area
Calculate the area of an equilateral triangle from its side length using the formula A = (sqrt3/4) x s^2. Free online equilateral triangle area calculator for students, architects, and geometry enthusiasts.
About This Calculator
The Equilateral Triangle Area Calculator computes the area from just the side length using A = (sqrt3/4) x s^2. This formula is derived from the base-height area formula, where the height h = (sqrt3/2) x s (from the 30-60-90 right triangle formed by the altitude).
For example, an equilateral triangle with side 10 has area ≈ 43.30 square units. This calculator is useful for geometry homework, architectural design, engineering calculations, and any application involving regular triangular shapes.
Frequently Asked Questions
What is the formula for equilateral triangle area?
The area of an equilateral triangle with side length s is A = (sqrt3/4) x s^2. This formula is derived from the general triangle area formula A = 1/2 x base x height, where the height is (sqrt3/2) x s.
Why is sqrt3 used in equilateral triangle formulas?
sqrt3 appears because an equilateral triangle's height forms a 30-60-90 right triangle. The ratio of sides in a 30-60-90 triangle is 1 : sqrt3 : 2, making sqrt3 a natural constant in all equilateral triangle calculations.
Is this calculator free?
Yes, all calculators on Calculy are completely free to use.