   Chapter 7.CR, Problem 32CR 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 length of the radius of a circle inscribed in an equilateral triangle is 7 in. Find the length of the radius of the triangle.

To determine

To find:

The length of the radius of the triangle.

Explanation

Given:

The length of the radius of a circle inscribed in an equilateral triangle is 7 inch.

Calculation:

Consider a circle of radius 7 inch inscribed in an equilateral triangle.

We need to find the radius of the triangle, that is OB.

By properties of polygon, we know that OD is the perpendicular bisector of OD.

Therefore, ODB=90

Since OB is the radius of triangle ABC, OB bisects B.

Therefore OBD=30

In triangle ODB,

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