Reckoning

Reckoning / Shape / Equilateral triangle

Plane figure · Triangles

Equilateral triangle

Three equal sides and three 60° angles.

Dimensions

Results

height h
area A

Formulas

An isosceles triangle with s = b = a: h = √(a² − a²/4).

Checked: the A formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.

Topology lens

Topologically a disc, like every figure here without a hole: Euler characteristic 1. Stretching turns it into a circle, a square or a star. More on the lens.