Chapter 7.CR, Problem 32CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

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,

Since *OB* is the radius of triangle *ABC*, *OB *bisects

Therefore

In triangle *ODB*,

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