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1.
Circumscribed radius of equilateral triangle
$R=\dfrac{2h}{3}$
Circumcircle R
Triangle
2.
Circumscribed radius of equilateral triangle
$R=\dfrac{a\sqrt{3}}{3}$
Circumcircle R
Triangle
3.
Incircle radius of equilateral triangle
$r=\dfrac{h}{3}$
Incircle r
Triangle
4.
Incircle radius of equilateral triangle
$r=\dfrac{a\sqrt{3}}{6}$
Incircle r
Triangle
5.
Incircle radius of equilateral triangle
$r=\dfrac{R}{2}$
Incircle r
Triangle
6.
Equilateral triangle perimeter
$P=3a$
Perimeter
Triangle
7.
Equilateral triangle area
$A=\dfrac{ah}{2}$
Area
Triangle
8.
Equilateral triangle area
$A=\dfrac{a^2\sqrt3}{4}$
Area
Side
Triangle
9.
Isoscales triangle - base angle
$\beta = 90\degree-\dfrac{\alpha}{2}$
Triangle
Angle
10.
Isoscales triangle height
$h^2=b^2-\dfrac{a^2}{4}$
Height
Side
Triangle
11.
Isoscales triangle leg
$b^2=h^2+\dfrac{a^2}{4}$
Side
Triangle
12.
Isoscales triangle base
$a^2=4b^2-4h^2$
Side
Triangle
13.
Isoscales triangle perimeter
$P=a+2b$
Perimeter
Side
Triangle
14.
Isoscales triangle area
$A=\dfrac{ah}{2}$
Area
Height
Side
Triangle
15.
Isoscales triangle area
$A=\dfrac{b^2}{2}\sin\alpha$
Area
Side
Triangle
16.
Equilateral triangle height
$h=\dfrac{a\sqrt{3}}{2}$
Height
Triangle
17.
Sum of interior angles
$\alpha + \beta + \gamma = 180\degree$
Angle
Triangle
18.
Triangle inequality
$\begin{aligned} a+b&>c \\ a+c&>b\\b+c&>a \end{aligned}$
Side
Triangle
19.
Triangle inequality
$\begin{aligned}|a-b| <& c \\ |a-c| <& b \\ |b-c| <& a \end{aligned}$
Side
Triangle
20.
Midline of a triangle
$q=\dfrac{a}{2}, q||a$
Triangle

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