Chapter 8.CR, Problem 20CR

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# The area of an equilateral triangle is 108 3  in 2 . If the length of each side of the triangle is 12 3  in , find the length of an apothem of the triangle.

To determine

To find:

The length of an apothem of the triangle.

Explanation

Theorem:

The area A of a triangle whose base has length b and whose corresponding altitude has length h is given by

A=12bh

Calculation:

Suppose s be the length of the side of equilateral triangle. Then

s=123Â in

The area of the equilateral triangle = 1083Â in2

Sketch the following diagram:

First we must the height of the triangle.

### 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