Chapter 7.3, Problem 36E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

**Calculation:**

It is given the regular polygon has 12 diagonals.

Use the formula for the number of diagonals of a regular polygon,

Substitute *D* = 12 in

Use the quadratic formula to find the possible value of *n*

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