Diagonal of the parallelogram when sides and cosine β are given Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Parallelogram ↺
Parallelogram	Diagonal of the parallelogram ↺

✖Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side A [a]			+10% -10%
✖Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side B [b]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [ϑ]			+10% -10%

✖The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure.ⓘ Diagonal of the parallelogram when sides and cosine β are given [d2]

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Diagonal of the parallelogram when sides and cosine β are given

Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Radius of Inscribed Circle

Radius Of Inscribed Circle=sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) GO

Area of Triangle when semiperimeter is given

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) GO

Area of a Triangle when sides are given

Area=sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 GO

Radius of circumscribed circle

Radius Of Circumscribed Circle=(Side A*Side B*Side C)/(4*Area Of Triangle) GO

Side a of a triangle

Side A=sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) GO

Perimeter of a Right Angled Triangle

Perimeter=Side A+Side B+sqrt(Side A^2+Side B^2) GO

Perimeter of Triangle

Perimeter Of Triangle=Side A+Side B+Side C GO

Perimeter of a Parallelogram

Perimeter=2*Side A+2*Side B GO

Perimeter of a Kite

Perimeter=2*(Side A+Side B) GO

Perimeter of an Isosceles Triangle

Perimeter=Side A+2*Side B GO

Area of a Square when side is given

Area=(Side A)^2 GO

< 11 Other formulas that calculate the same Output

Diagonal 2 of a trapezoid

Diagonal 2=sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side D^2+Side A*Side C^2)/sqrt(Side A-Side B) GO

Diagonal d2 of Trapezoid given all four sides

Diagonal 2=sqrt((Side C)^2+(Base A*Base B)-(Base A*((Side C)^2-(Side D)^2)/(Base A-Base B))) GO

Diagonal d2 of Trapezoid given base angles and sides

Diagonal 2=sqrt((Base A)^2+(Side C)^2-(2*Base A*Side C*cos(base angle 1))) GO

Diagonal d2 of Trapezoid given height, bases and lateral sides

Diagonal 2=sqrt((Base A)^2+(Side C)^2-(2*Base A)*sqrt(Side C^2-Height^2)) GO

Diagonal d2 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height

Diagonal 2=(2*Height*Midline of a trapezoid)/(Diagonal 1*sin(Angle A)) GO

Diagonal d2 of Trapezoid given other diagonal, angle between the diagonals and height

Diagonal 2=(Height*(Base A+Base B))/(Diagonal 1*sin(Angle A)) GO

Diagonal d2 of Trapezoid given height, angles at the base and sides

Diagonal 2=sqrt(Height^2+(Base A-Height*cot(base angle 1))^2) GO

Diagonal d2 of Trapezoid given height, angles at base and base b

Diagonal 2=sqrt(Height^2+(Base B+Height*cot(base angle 2))^2) GO

Diagonal of a Parallelogram (Diagonal 2)

Diagonal 2=sqrt(2*Side A^2+2*Side B^2-Diagonal 1^2) GO

Diagonal d2 of Trapezoid given other diagonal, angle between the diagonals and area

Diagonal 2=(2*Area)/(Diagonal 1*sin(Angle A)) GO

Diagonal of a Rhombus

Diagonal 2=2*(Area/Diagonal 1) GO

Diagonal of the parallelogram when sides and cosine β are given Formula

Diagonal 2=sqrt((Side A)^2+(Side B)^2+2*Side A*Side B*cos(Theta))

More formulas

Side of a parallelogram when diagonal and the angle between diagonals are given GO

Side of a parallelogram when diagonal and the other side is given GO

Side of the parallelogram when the height and sine of an angle are given GO

Side of the parallelogram when the area and height of the parallelogram are given GO

Diagonal of the parallelogram when sides and cosine β are given GO

Diagonal of a parallelogram when the area, diagonal, and angles between diagonals are given GO

Diagonal of a parallelogram when the area, other diagonal and angle between diagonals are given GO

Perimeter of a parallelogram when side a and diagonals are given GO

Perimeter of a parallelogram when side b and diagonals are given GO

Perimeter of the parallelogram when side, height, and sine of an angle is given GO

What is diagonal of the parallelogram and how it is calculated ?

The diagonal of a parallelogram is any segment that connects two vertices of a parallelogram at opposite angles. A parallelogram has two diagonals. Its formula is d₂ = √(a² + b² + 2ab·cosβ) Where d₂ is one of the diagonal of the parallelogram, a is the horizontal side of the parallelogram, b is the vertical side of the parallelogram and cosine β is the angle between adjacent sides of a parallelogram.

How to Calculate Diagonal of the parallelogram when sides and cosine β are given?

Diagonal of the parallelogram when sides and cosine β are given calculator uses Diagonal 2=sqrt((Side A)^2+(Side B)^2+2*Side A*Side B*cos(Theta)) to calculate the Diagonal 2, Diagonal of the parallelogram when sides and cosine β are given is any segment that connects two vertices of a parallelogram opposite angles. Diagonal 2 and is denoted by d2 symbol.

How to calculate Diagonal of the parallelogram when sides and cosine β are given using this online calculator? To use this online calculator for Diagonal of the parallelogram when sides and cosine β are given, enter Side A (a), Side B (b) and Theta (ϑ) and hit the calculate button. Here is how the Diagonal of the parallelogram when sides and cosine β are given calculation can be explained with given input values -> 14.4912 = sqrt((8)^2+(7)^2+2*8*7*cos(30)).

FAQ

What is Diagonal of the parallelogram when sides and cosine β are given?

Diagonal of the parallelogram when sides and cosine β are given is any segment that connects two vertices of a parallelogram opposite angles and is represented as d2=sqrt((a)^2+(b)^2+2*a*b*cos(ϑ)) or Diagonal 2=sqrt((Side A)^2+(Side B)^2+2*Side A*Side B*cos(Theta)). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Diagonal of the parallelogram when sides and cosine β are given?

Diagonal of the parallelogram when sides and cosine β are given is any segment that connects two vertices of a parallelogram opposite angles is calculated using Diagonal 2=sqrt((Side A)^2+(Side B)^2+2*Side A*Side B*cos(Theta)). To calculate Diagonal of the parallelogram when sides and cosine β are given, you need Side A (a), Side B (b) and Theta (ϑ). With our tool, you need to enter the respective value for Side A, Side B and Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal 2?

In this formula, Diagonal 2 uses Side A, Side B and Theta. We can use 11 other way(s) to calculate the same, which is/are as follows -

Diagonal 2=sqrt(2*Side A^2+2*Side B^2-Diagonal 1^2)
Diagonal 2=sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side D^2+Side A*Side C^2)/sqrt(Side A-Side B)
Diagonal 2=2*(Area/Diagonal 1)
Diagonal 2=sqrt((Base A)^2+(Side C)^2-(2*Base A*Side C*cos(base angle 1)))
Diagonal 2=sqrt((Side C)^2+(Base A*Base B)-(Base A*((Side C)^2-(Side D)^2)/(Base A-Base B)))
Diagonal 2=sqrt(Height^2+(Base A-Height*cot(base angle 1))^2)
Diagonal 2=sqrt(Height^2+(Base B+Height*cot(base angle 2))^2)
Diagonal 2=sqrt((Base A)^2+(Side C)^2-(2*Base A)*sqrt(Side C^2-Height^2))
Diagonal 2=(Height*(Base A+Base B))/(Diagonal 1*sin(Angle A))
Diagonal 2=(2*Height*Midline of a trapezoid)/(Diagonal 1*sin(Angle A))
Diagonal 2=(2*Area)/(Diagonal 1*sin(Angle A))

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