Diagonal d1 of Trapezoid given all four sides Calculator

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Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Trapezoid ↺
Trapezoid	Diagonal of Trapezoid ↺

✖Side D is a straight line bounding a geometric figure. ⓘ Side D [d]			+10% -10%
✖Base A is the lowest part or edge of something, especially the part on which it rests or is supported.ⓘ Base A [ba]			+10% -10%
✖Base B is the lowest part or edge of something, especially the part on which it rests or is supported.ⓘ Base B [bb]			+10% -10%
✖Side C 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 C [c]			+10% -10%

✖The Diagonal is the line stretching from one corner of the figure to the opposite corner through the center of the figure.ⓘ Diagonal d1 of Trapezoid given all four sides [d1]

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Diagonal d1 of Trapezoid given all four sides

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 500+ more calculators!

Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Calculator and 50+ 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

Diagonal 1 of a trapezoid

Diagonal 1=sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B) 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

side b of a triangle

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

Perimeter of Triangle

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

Perimeter of a trapezoid

Perimeter=Side A+Side B+Side C+Side D GO

Perimeter Of Parallelepiped

Perimeter=4*Side A+4*Side B+4*Side C GO

Area of a Trapezoid

Area=((Base A+Base B)/2)*Height GO

< 11 Other formulas that calculate the same Output

Diagonal 1 of a trapezoid

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

Diagonal d1 of Trapezoid given base angles and sides

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

Diagonal d1 of Trapezoid given height, bases and lateral sides

Diagonal 1=sqrt((Base A)^2+(Side D)^2-(2*Base A)*sqrt(Side D^2-Height^2)) GO

Diagonal of the parallelogram when sides and cosine β are given

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

Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and height

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

Diagonal d1 of Trapezoid given height, angles at the base and sides

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

Diagonal d1 of Trapezoid given height, angles at base and base b

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

Diagonal of a rhombus when other diagonal and half-angle are given

Diagonal 1=Diagonal 2*tan(Half angle between sides) GO

Diagonal of a Parallelogram (Diagonal 1)

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

Diagonal of a rhombus when side and other diagonal are given

Diagonal 1=sqrt(4*Side^2-Diagonal 2^2) GO

Diagonal of a rhombus when area and other diagonal are given

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

Diagonal d1 of Trapezoid given all four sides Formula

Diagonal 1=sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B)))
d1=sqrt((d)^2+(ba*bb)-(ba*((d)^2-(c)^2)/(ba-bb)))

More formulas

Diagonal d1 of Trapezoid given base angles and sides GO

Diagonal d2 of Trapezoid given base angles and sides GO

Diagonal d2 of Trapezoid given all four sides GO

Diagonal d1 of Trapezoid given height, angles at the base and sides GO

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

Diagonal d1 of Trapezoid given height, angles at base and base b GO

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

Diagonal d1 of Trapezoid given height, bases and lateral sides GO

Diagonal d2 of Trapezoid given height, bases and lateral sides GO

Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and height GO

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

Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height GO

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

Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and area GO

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

Diagonal d1 of Trapezoid given other diagonal and all the sides GO

Diagonal d2 of Trapezoid given other diagonal and all the sides GO

what is a trapezoid?

A trapezoid is a four-sided closed shape or figure which cover some area and also has its perimeter. It is a 2D figure and not 3D figure. The sides which are parallel to each other are termed as the bases of the trapezoid. The non-parallel sides are known as legs or lateral sides.

How to Calculate Diagonal d1 of Trapezoid given all four sides?

Diagonal d1 of Trapezoid given all four sides calculator uses Diagonal 1=sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B))) to calculate the Diagonal 1, The Diagonal d1 of Trapezoid given all four sides formula is defined as d1=sqrt(d^2+ab-a(d^2-c^2)/a-b). Diagonal 1 and is denoted by d1 symbol.

How to calculate Diagonal d1 of Trapezoid given all four sides using this online calculator? To use this online calculator for Diagonal d1 of Trapezoid given all four sides, enter Side D (d), Base A (ba), Base B (bb) and Side C (c) and hit the calculate button. Here is how the Diagonal d1 of Trapezoid given all four sides calculation can be explained with given input values -> 13.78405 = sqrt((5)^2+(10*12)-(10*((5)^2-(4)^2)/(10-12))).

FAQ

What is Diagonal d1 of Trapezoid given all four sides?

The Diagonal d1 of Trapezoid given all four sides formula is defined as d1=sqrt(d^2+ab-a(d^2-c^2)/a-b) and is represented as d1=sqrt((d)^2+(ba*bb)-(ba*((d)^2-(c)^2)/(ba-bb))) or Diagonal 1=sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B))). Side D is a straight line bounding a geometric figure. , Base A is the lowest part or edge of something, especially the part on which it rests or is supported, Base B is the lowest part or edge of something, especially the part on which it rests or is supported and Side C 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.

How to calculate Diagonal d1 of Trapezoid given all four sides?

The Diagonal d1 of Trapezoid given all four sides formula is defined as d1=sqrt(d^2+ab-a(d^2-c^2)/a-b) is calculated using Diagonal 1=sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B))). To calculate Diagonal d1 of Trapezoid given all four sides, you need Side D (d), Base A (ba), Base B (bb) and Side C (c). With our tool, you need to enter the respective value for Side D, Base A, Base B and Side C 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 1?

In this formula, Diagonal 1 uses Side D, Base A, Base B and Side C. We can use 11 other way(s) to calculate the same, which is/are as follows -

Diagonal 1=sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2)
Diagonal 1=sqrt(4*Side^2-Diagonal 2^2)
Diagonal 1=(2*Area)/Diagonal 2
Diagonal 1=Diagonal 2*tan(Half angle between sides)
Diagonal 1=sqrt((Side A)^2+(Side B)^2-2*Side A*Side B*cos(Theta))
Diagonal 1=sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B)
Diagonal 1=sqrt((Base A)^2+(Side D)^2-(2*Base A*Side D*cos(base angle 2)))
Diagonal 1=sqrt(Height^2+(Base A-Height*cot(base angle 2))^2)
Diagonal 1=sqrt(Height^2+(Base B+Height*cot(base angle 1))^2)
Diagonal 1=sqrt((Base A)^2+(Side D)^2-(2*Base A)*sqrt(Side D^2-Height^2))
Diagonal 1=(Height*(Base A+Base B))/(Diagonal 2*sin(Angle A))

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