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1.
Equilateral triangle area
$A=\dfrac{a^2\sqrt3}{4}$
2.
Isoscales triangle height
$h^2=b^2-\dfrac{a^2}{4}$
3.
Isoscales triangle leg
$b^2=h^2+\dfrac{a^2}{4}$
4.
Isoscales triangle base
$a^2=4b^2-4h^2$
5.
Isoscales triangle perimeter
$P=a+2b$
6.
Isoscales triangle area
$A=\dfrac{ah}{2}$
7.
Isoscales triangle area
$A=\dfrac{b^2}{2}\sin\alpha$
8.
Pythagorean theorem
$c^2=a^2+b^2$
11.
Triangle inequality
$\begin{aligned} a+b&>c \\ a+c&>b\\b+c&>a \end{aligned}$
12.
Triangle inequality
$\begin{aligned}|a-b| <& c \\ |a-c| <& b \\ |b-c| <& a \end{aligned}$