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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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