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Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals Calculator

Category Math ↺
Math Geometry ↺
Geometry 2D Geometry ↺
2D-Geometry Isosceles Trapezoid ↺
Isosceles-Trapezoid Diagonals of an isosceles trapezoid ↺
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]
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✖Base A is the lowest part or edge of something, especially the part on which it rests or is supported.ⓘ Base A [ba]
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✖Base B is the lowest part or edge of something, especially the part on which it rests or is supported.ⓘ Base B [bb]
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✖The angle A is one of the angles of a triangle.ⓘ Angle A [∠A]
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✖A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.ⓘ Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals [d]
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Mona Gladys
St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has created this Calculator and 500+ more calculators!
Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
Anamika Mittal has verified this Calculator and 200+ 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 of a Rectangle when breadth and perimeter are given
Diagonal=sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) GO
Diagonal of a Rectangle when length and perimeter are given
Diagonal=sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) GO
Diagonal of a Rectangle when breadth and area are given
Diagonal=sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) GO
Diagonal of a Rectangle when length and area are given
Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2) GO
Diagonal of the rectangle when the radius of the circumscribed circle is given
Diagonal=2*Radius Of Circumscribed Circle GO
Diagonal of a Rectangle when length and breadth are given
Diagonal=sqrt(Length^2+Breadth^2) GO
Diagonal of a Square when perimeter is given
Diagonal=(Perimeter/4)*sqrt(2) GO
The maximum face diagonal length for cubes with a side length S
Diagonal=Side*(sqrt(2)) GO
Diagonal of a Square when side is given
Diagonal=Side*sqrt(2) GO
Diagonal of a Square when area is given
Diagonal=sqrt(2*Area) GO
Diagonal of a Cube
Diagonal=sqrt(3)*Side GO

Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals Formula

Diagonal=sqrt(Height*(Base A+Base B)/sin(Angle A))
d=sqrt(h*(ba+bb)/sin(∠A))
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Diagonal of an isosceles trapezoid given base b, lateral side c and angle B between them GO
Diagonal of an isosceles trapezoid given base b, lateral side c and angle A between them GO
Diagonal of an isosceles trapezoid given height and midsegment GO
Diagonal of an isosceles trapezoid given height and bases GO
Diagonal of an isosceles trapezoid given height, midsegment and angle between the diagonals GO
Diagonal of an isosceles trapezoid given area and angle between the diagonals GO
Diagonal of a trapezoid given height, base a and angle at the base GO
Diagonal of an isosceles trapezoid given height, base b and angle at the base GO
Diagonal of an isosceles trapezoid given height, sides and bases GO

what is an isosceles trapezoid?

In Euclidean geometry, an isosceles trapezoid ( isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid. Alternatively, it can be defined as a trapezoid in which both legs and both base angles are of the same measure.

How to Calculate Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals?

Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals calculator uses Diagonal=sqrt(Height*(Base A+Base B)/sin(Angle A)) to calculate the Diagonal, The Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals formula is defined as d=sqrt(h(a+b)/sin(A) where a, b are diagonals, h is height and A is the angle between diagonals of trapezoid. Diagonal and is denoted by d symbol.

How to calculate Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals using this online calculator? To use this online calculator for Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals, enter Height (h), Base A (ba), Base B (bb) and Angle A (∠A) and hit the calculate button. Here is how the Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals calculation can be explained with given input values -> 22.97825 = sqrt(12*(10+12)/sin(30)).

FAQ

What is Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals?
The Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals formula is defined as d=sqrt(h(a+b)/sin(A) where a, b are diagonals, h is height and A is the angle between diagonals of trapezoid and is represented as d=sqrt(h*(ba+bb)/sin(∠A)) or Diagonal=sqrt(Height*(Base A+Base B)/sin(Angle A)). Height is the distance between the lowest and highest points of a person standing upright, 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 The angle A is one of the angles of a triangle.
How to calculate Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals?
The Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals formula is defined as d=sqrt(h(a+b)/sin(A) where a, b are diagonals, h is height and A is the angle between diagonals of trapezoid is calculated using Diagonal=sqrt(Height*(Base A+Base B)/sin(Angle A)). To calculate Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals, you need Height (h), Base A (ba), Base B (bb) and Angle A (∠A). With our tool, you need to enter the respective value for Height, Base A, Base B 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?
In this formula, Diagonal uses Height, Base A, Base B and Angle A. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diagonal=Side*sqrt(2)
  • Diagonal=sqrt(Length^2+Breadth^2)
  • Diagonal=sqrt(3)*Side
  • Diagonal=sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2)
  • Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2)
  • Diagonal=sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
  • Diagonal=sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4))
  • Diagonal=sqrt(2*Area)
  • Diagonal=(Perimeter/4)*sqrt(2)
  • Diagonal=Side*(sqrt(2))
  • Diagonal=2*Radius Of Circumscribed Circle
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