   Chapter 6.4, Problem 18E ### 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 chords M N ¯ , R S ¯ , and T V ¯ in ⊙ Q such that Q Z > Q Y > Q X , which chord has the greatest length? Which has the shortest length? Why? To determine

To find:

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

Explanation

Given:

The Q and chords MN¯, RS¯, and TV¯ such that QZ>QY>QX.

The figure given below,

Theorem:

In a circle (or in congruent circles) containing two unequal chords, the chord nearer the center of the circle has the greater length.

Calculation:

Using following theorem:

Since the chords are unequal and the distance of chords from center is also unequal i

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