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

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

✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%
✖Midline of a trapezoid is a line segment that is parallel to the bases of a trapezoid.ⓘ Midline of a trapezoid [m]			+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 2 [d2]			+10% -10%
✖The angle A is one of the angles of a triangle.ⓘ Angle A [∠A]			+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 other diagonal, angle between the diagonals, midsegment and height [d1]

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

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

Volume of a Conical Frustum

Volume=(1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) GO

Total Surface Area of a Cone

Total Surface Area=pi*Radius*(Radius+sqrt(Radius^2+Height^2)) GO

Lateral Surface Area of a Cone

Lateral Surface Area=pi*Radius*sqrt(Radius^2+Height^2) GO

Total Surface Area of a Cylinder

Total Surface Area=2*pi*Radius*(Height+Radius) GO

Lateral Surface Area of a Cylinder

Lateral Surface Area=2*pi*Radius*Height GO

Volume of a Circular Cone

Volume=(1/3)*pi*(Radius)^2*Height GO

Area of a Trapezoid

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

Volume of a Circular Cylinder

Volume=pi*(Radius)^2*Height GO

Volume of a Pyramid

Volume=(1/3)*Side^2*Height GO

Area of a Triangle when base and height are given

Area=1/2*Base*Height GO

Area of a Parallelogram when base and height are given

Area=Base*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 all four sides

Diagonal 1=sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base 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 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 other diagonal, angle between the diagonals, midsegment and height Formula

Diagonal 1=(2*Height*Midline of a trapezoid)/(Diagonal 2*sin(Angle A))
d1=(2*h*m)/(d2*sin(∠A))

More formulas

Diagonal d1 of Trapezoid given base angles and sides GO

Diagonal d2 of Trapezoid given base angles and sides GO

Diagonal d1 of Trapezoid given all four 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 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 other diagonal, angle between the diagonals, midsegment and height?

Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height calculator uses Diagonal 1=(2*Height*Midline of a trapezoid)/(Diagonal 2*sin(Angle A)) to calculate the Diagonal 1, The Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height formula is defined as d1=2mh/d2.sin(A) where m is the midline , h is the height and a is the angle between diagonals. Diagonal 1 and is denoted by d1 symbol.

How to calculate Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height using this online calculator? To use this online calculator for Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height, enter Height (h), Midline of a trapezoid (m), Diagonal 2 (d2) and Angle A (∠A) and hit the calculate button. Here is how the Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height calculation can be explained with given input values -> 120 = (2*12*15)/(6*sin(30)).

FAQ

What is Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height?

The Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height formula is defined as d1=2mh/d2.sin(A) where m is the midline , h is the height and a is the angle between diagonals and is represented as d1=(2*h*m)/(d2*sin(∠A)) or Diagonal 1=(2*Height*Midline of a trapezoid)/(Diagonal 2*sin(Angle A)). Height is the distance between the lowest and highest points of a person standing upright, Midline of a trapezoid is a line segment that is parallel to the bases of a trapezoid, The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure and The angle A is one of the angles of a triangle.

How to calculate Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height?

The Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height formula is defined as d1=2mh/d2.sin(A) where m is the midline , h is the height and a is the angle between diagonals is calculated using Diagonal 1=(2*Height*Midline of a trapezoid)/(Diagonal 2*sin(Angle A)). To calculate Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height, you need Height (h), Midline of a trapezoid (m), Diagonal 2 (d2) and Angle A (∠A). With our tool, you need to enter the respective value for Height, Midline of a trapezoid, Diagonal 2 and Angle A 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 Height, Midline of a trapezoid, Diagonal 2 and Angle A. 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((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B)))
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))

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