   Chapter 6.4, Problem 15E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# Given parallel chords A B ¯ , C D ¯ , E F ¯ , and G H ¯ in circle O , which chord has the greatest length? Why? To determine

To find:

The chord that has the greatest length and the shortest length and the reason for that.

Explanation

Given:

The circle O and parallel chords AB¯, CD¯, EF¯, and GH¯.

The figure given below,

Theorem:

In a circle (or in congruent circles) containing two unequal minor arcs, the greater minor arc corresponds to the longer of the chords related to these arcs.

Calculation:

Using following theorem:

Since the arcs are unequal i.e

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