A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the polygon. For Exercise, determine the number of diagonals for the given polygon. B Diagonal D. octagon (8 sides)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the polygon. For Exercise,
determine the number of diagonals for the given polygon.
B
Diagonal
D.
octagon (8 sides)
Transcribed Image Text:A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the polygon. For Exercise, determine the number of diagonals for the given polygon. B Diagonal D. octagon (8 sides)
Expert Solution
Step 1

There are 8 vertices in a octagon. 

We have to pick 2 vertices from 8 vertices to draw a diagonal. 

We can pick 2 points from 8 points in 8C2 ways. 

 

But notice that there will be 8 sides of the octagon included in this 8C2 

We have to subtract those 8 sides. 

So total number of diagonals= (8C2)-8

 

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