   Chapter 7.3, Problem 34E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Is there a regular polygon with 12 diagonals? If so, how many sides does it have?

To determine

To find:

The number of sides of a regular polygon if it exists.

Explanation

Approach:

The number of diagonals of a regular polygon of n sides is given by D=n(n3)2

Calculation:

It is given the regular polygon has 12 diagonals.

Use the formula for the number of diagonals of a regular polygon, D=n(n3)2

Substitute D = 12 in D=n(n3)2

12=n(n3)2n(n3)=24n23n=24n23n24=0

Use the quadratic formula to find the possible value of n

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 1124, find the indicated limits, if they exist. 18. limx34x3x+1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Factor completely. 2x2+x1

Trigonometry (MindTap Course List)

#### True or False: If f′(c) = 0 and f″(c) < 0, then c is a local minimum.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 