Definition Of Diagonal

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

More About Diagonal

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

 

Example of Diagonal

In the example shown, AC is a diagonal.

Video Examples: Diagonal Length
 

Solved Example on Diagonal

Ques: 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.

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