Equilateral Triangle

Equilateral Triangle Formulas

Formulas knowing the Side

Height `h = sqrt(3)/2*a`

Area `A=sqrt(3)/4*a^2`

Perimeter `P=3*a`

Incircle radius `r=sqrt(3)/6*a`

Circumcircle radius `R=sqrt(3)/3*a`

Formulas knowing the height

Side `a = 2/sqrt(3)*h`

Area `A = 1/sqrt(3)*h^2`

Perimeter `P=2*sqrt(3)*h`

Incircle radius `r=1/3*h`

Circumcircle radius `R=2/3*h`

Formulas knowing the Area

Side `a = sqrt(4/sqrt(3)*A)`

Height `h = sqrt(sqrt(3)*A)`

Perimeter `P=3*sqrt(4/sqrt(3)*A)`

Incircle radius `r=1/3*sqrt(sqrt(3)*A)`

Circumcircle radius `R=2/3*sqrt(sqrt(3)*A)`

See also

Plane Geometry calculators
Geometry calculators
Mathematics calculators