   Chapter 8.CR, Problem 20CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

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=123 in

The area of the equilateral triangle = 1083 in2

Sketch the following diagram:

First we must the height of the triangle.

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