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141.
Isoscales triangle height
$h^2=b^2-\dfrac{a^2}{4}$
Height
Side
Triangle
Variables:
h
→
Height
a
→
Base
b
→
Leg
142.
Isoscales triangle leg
$b^2=h^2+\dfrac{a^2}{4}$
Side
Triangle
Variables:
b
→
Leg
h
→
Height
a
→
Base
143.
Isoscales triangle base
$a^2=4b^2-4h^2$
Side
Triangle
Variables:
a
→
Base
b
→
Leg
h
→
Height
144.
Isoscales triangle perimeter
$P=a+2b$
Perimeter
Side
Triangle
Variables:
P
→
Perimeter
a
→
Base
b
→
Leg
145.
Isoscales triangle area
$A=\dfrac{ah}{2}$
Area
Height
Side
Triangle
Variables:
A
→
Area
a
→
Base side
h
→
Height
146.
Isoscales triangle area
$A=\dfrac{b^2}{2}\sin\alpha$
Area
Side
Triangle
Variables:
A
→
Area
b
→
Leg
α
→
Vertex angle
147.
Diagonal of a square
$d=a\sqrt{2}$
Diagonal
Square
Variables:
d
→
Diagonal
a
→
Side
148.
Circumscribed radius of a square
$R=\dfrac{d}{2}$
Circumcircle R
Square
Variables:
R
→
Circumscribed radius
d
→
Diagonal
149.
Circumscribed radius of a square
$R=\dfrac{a\sqrt{2}}{2}$
Circumcircle R
Square
Variables:
R
→
Circumscribed radius
a
→
Side
150.
Incircle radius of a square
$r=\dfrac{a}{2}$
Incircle r
Square
Variables:
r
→
Incircle radius
a
→
side
151.
Perimeter of a square
$P=4a$
Perimeter
Square
Variables:
P
→
Perimeter
a
→
side
152.
Area of a square
$A = a^2$
Area
Square
Variables:
A
→
Area
a
→
side
153.
Rectangle diagonal
$d=\sqrt{a^2+b^2}$
Diagonal
Rectangle
Variables:
a,b
→
Sides
d
→
Diagonal
154.
Rectangle circumcircle radius
$R=\dfrac{d}{2}$
Circumcircle R
Rectangle
Variables:
R
→
Circumcircle radius
d
→
Diagonal
155.
Rectangle perimeter
$P=2a+ab$
Perimeter
Rectangle
Variables:
P
→
Perimeter
a, b
→
Sides
156.
Rectangle area
$A=ab$
Area
Rectangle
Variables:
A
→
Area
a,b
→
Sides
157.
Sum of angles in parallelogram
$\alpha + \beta = 180\degree$
Parallelogram
Angle
158.
$d_1^2+d_2^2=2\left(a^2+b^2\right)$
Parallelogram
Variables:
d1, d2
→
Diagonals
a, b
→
Sides
159.
Height of a parallelogram
$h=b\sin\alpha$
Height
Parallelogram
Variables:
h
→
Height
b
→
Side
α
→
Angle
160.
Height of a parallelogram
$h=a\sin\beta$
Height
Parallelogram
Variables:
h
→
Height
a
→
Side
β
→
Beta
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Most Important Formulas
Sum and difference formulas
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Power of trigonometric functions
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