Variables

a
→
Base
b
→
Legs
β
→
Base angle
α
→
Vertex angle
h
→
Altitude
P
→
Perimeter
A
→
Area
1.
Isoscales triangle - base angle
$\beta = 90\degree-\dfrac{\alpha}{2}$
Triangle
Angle
2.
Isoscales triangle height
$h^2=b^2-\dfrac{a^2}{4}$
Height
Side
Triangle
3.
Isoscales triangle leg
$b^2=h^2+\dfrac{a^2}{4}$
Side
Triangle
4.
Isoscales triangle base
$a^2=4b^2-4h^2$
Side
Triangle
5.
Isoscales triangle perimeter
$P=a+2b$
Perimeter
Side
Triangle
6.
Isoscales triangle area
$A=\dfrac{ah}{2}$
Area
Height
Side
Triangle
7.
Isoscales triangle area
$A=\dfrac{b^2}{2}\sin\alpha$
Area
Side
Triangle

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