Chapter 11.3, Problem 39E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 37 to 43, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit.*

Find the length of the apothem drawn to one of the

To determine

**To calculate:**

The length of the apothem to each of the 6-in. sides of a regular pentagon.

Explanation

**Given:**

Consider a regular pentagon of side 6 inch.

**Definition used:**

The trigonometric ratio

**Calculation:**

Consider a regular pentagon *ABCDE* and the apothem *FG*.

The central angle of the regular pentagon is

Thus

Hence the apothem *FG* bisects the angle and the side *AE*.

Since

Consider the triangle *AFG*, where

That is

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