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

Chapter 6.4, Problem 15E, Given parallel chords AB, CD, EF, and GH 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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