   Chapter 7.CT, Problem 11CT 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

An equilateral triangle has a radius of length 3 in. Find the length ofa) an apothem.b) a side.

To determine

(a)

To find:

The length of an apothem.

Explanation

Given:

An equilateral triangle has a radius of length 3 in.

Definition:

An apothem means a perpendicular from the center of a regular polygon to one of its side.

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment. Regular polygons are the only polygons that have apothems.

Calculation:

To find: the length of an apothem.

So that, the length of a side (base) is 2x while the length of the height is x3

To determine

(b)

To find:

The length of a side.

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