Variables

a
→
side
h
→
altitude
R
→
radius of cicumscribed circle
r
→
radius of inscribed circle
P
→
perimeter
A
→
area
1.
Equilateral triangle height
$h=\dfrac{a\sqrt{3}}{2}$
Height
Triangle
2.
Circumscribed radius of equilateral triangle
$R=\dfrac{2h}{3}$
Circumcircle R
Triangle
3.
Circumscribed radius of equilateral triangle
$R=\dfrac{a\sqrt{3}}{3}$
Circumcircle R
Triangle
4.
Incircle radius of equilateral triangle
$r=\dfrac{h}{3}$
Incircle r
Triangle
5.
Incircle radius of equilateral triangle
$r=\dfrac{a\sqrt{3}}{6}$
Incircle r
Triangle
6.
Incircle radius of equilateral triangle
$r=\dfrac{R}{2}$
Incircle r
Triangle
7.
Equilateral triangle perimeter
$P=3a$
Perimeter
Triangle
8.
Equilateral triangle area
$A=\dfrac{ah}{2}$
Area
Triangle
9.
Equilateral triangle area
$A=\dfrac{a^2\sqrt3}{4}$
Area
Side
Triangle

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