Diagonal

Definition of Diagonal

  • Diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Examples of Diagonal

  • In the example shown, AC is a diagonal.              

More about Diagonal

  • The number of diagonals of a polygon of n sides can be found using the formula:

 

Solved Example on Diagonal

Justin walked along the diagonal of a square garden of side 20 ft. How far did he walk?

Choices:

A. 29.40 ft

B. 28.40 ft

C. 27.16 ft

D. 28.28 ft

Correct Answer: D

Solution:

Step 1: Side length of the square field is s = 20 ft.           

Step 2: Distance that Justin walked = Length of the diagonal of the square field = = 28.28 ft.       

Related Terms for Diagonal

  • Line Segment
  • Polygon
  • Non-adjacent Vertices

Additional Links for Diagonal