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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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An equilateral triangle has a radius of length 3 in. Find the length of

a) 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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