   Chapter 6.4, Problem 29E 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

Given circle O with m B C ⌢ = 120 ° , and m A C ⌢ = 130 ° .a) Which angle of triangle A B C is smallest?b) Which side of triangle A B C is nearest point O ? To determine

(a)

To find:

The smallest angle of triangle ABC.

Explanation

Given:

Circle O with mBC=120°, and mAC=130°. The figure given below

Property Used:

The measure of an inscribed angle of a circle is half the measure of its intercepted arc. Consider the figure below, let the inscribed angle be 2

Then m2=12mHJ and generally HKKJ.

Calculation:

Since, the measure of an inscribed angle of a circle is half the measure of its intercepted arc and from the given figure

To determine

(b)

To find:

The side of triangle ABC that is nearest point O.

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