Length of Diagonal
Diagonal of any polygon is the line segment joining the vertices of the polygon that are not on the same edge. The length of the polygon depends on the type of polygon. We do not have a single formula to calculate the length of the diagonal and the length of the diagonal is calculated using the properties of the polygon.
Let’s learn the length of the diagonal of various figures as
- Length of Diagonal of Square
- Length of Diagonal of a Rectangle
Now let’s learn their formula as
Formula for Diagonal of Square
The diagonal of the square is calculated using the Pythagoras Theorem. Suppose we have a square of the side “a” then its length of diagonal(d) is calculated as
d = √(a2 + a2)
⇒ d = √(2a2)
⇒ d = 2√(a)
The length of the diagonal is calculated as,
Length of Diagonal of a Square(D) = a√2
where, a is the side of the square
Formula for Diagonal of Rectangle
The diagonal of the rectangle is calculated using the Pythagoras Theorem. The length of the diagonal is calculated as,
Length of Diagonal of a Rectangle(D) = √(l2 + b2)
Where,
- l is the length of Rectangle, and
- b is the length of Rectangle.
Diagonals
Diagonal is a line segment that joins two non-adjacent corners of polygons or any other geometric shapes. Diagonals in math are defined only for lateral shapes, or the shapes that have corners, such as Squares, Rectangles, Pentagons, etc. but they are not defined for curved shapes such as Circles, and others. A diagonal can also be defined for 3-D shapes such as Cubes, Cuboids, etc.
Now let’s learn more about diagonal line, their properties, diagonals of various shapes, and other things about diagonals in detail in this article.
Table of Content
- What are Diagonals?
- Diagonal Shape
- Diagonal Formula
- Diagonals of Shapes
- Diagonals of Triangle
- Diagonals of Quadrilateral
- Diagonals of Square
- Diagonals of Rectangle
- Diagonals of Rhombus
- Diagonals of 3D Shapes
- Diagonals of Cube
- Diagonals of Cuboid
- Number of Diagonals in Polygons
- Length of Diagonal
- Length of a Diagonal of 3D Figures