Diagonals Formula

What is Diagonal of a Polygon?

Diagonal of a Polygon is defined as the line segment joining two vertices of the polygon that are not on the same edge. A polygon with n sides have n(n-3)/2 diagonals, i.e. for square we have 2 diagonals, for pentagon we have 3 diagonals, etc. We have to note that a triangle has no diagonals.

What is Formula for Finding Number of Diagonals of a Polygon?

The formula for finding the number of diagonals for any polygon is n(n-3)/2 where,

n represent the number of Diagonals of the Polygon.

What is the Formula for Finding Length Diagonals?

A quadrilateral with n sides has n(n-3)/2 number of diagonals and finding the length of the diagonals required using different formulas as there is no one single formula to find the length of diagonal of a polygon. Different formula for finding length of diagonal of polygons are,

• Length of Diagonal of Sqaure = a√(2) where, a is the length of side of rectangle.
• Length of Diagonal of Pectangle = √(l² + b²) where, l and b are length and breadth of Recatangle respectively.

Apart form them other formulas are also used for finding length of diagonal of polygon.

What is Formula for Diagonal of Square?

Square is a quadrilateral in which all four sides and all four angles are equal and opposite sides are parallel. Suppose we have a square with side “a” then, the formula for finding the length of diagonal of the square is a√(2) units.

What is Formula for Diagonal of Rectangle?

Rectangle is a quadrilateral in which all four angles are equal and opposite sides are equal and parallel. Suppose we have a rectangle with length “l” and breadth “b” then, the formula for finding the length of diagonal of the rectangle is √(l² + b²) units

What is the Diagonal Formula of Cuboid?

Cuboid is a 3D solid figure whose length breadth and height are unequal. The length of diagonal of cuboid is given as d = √(l² + b² + h²) where l, b and h are length, breadth and height of the cuboif respectively

What is Diagonal Formula of Cube?

Cube is 3D solid figure whose all dimensions are equal. The formula for length of body diagonal of a cube is given as √3⨯side and the formula for length of face diagonal of a cube is given as √2⨯side

Diagonal Formula is the formula that is used to calculate the length of the diagonal of any polygon. A diagonal is a slant line that joints two alternate sides of any polygon and finding its length is very important for solving various problems of geometry.

There are different ways for finding the diagonal of any polygon and we use various techniques for that purpose. Using Pythagoras Theorem is one such way. We have to study the Diagonal Formula in Class 8. In this article, we will learn about the Diagonal definition, its formula, various examples, and others related to it.