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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

In the figure for Exercises 7 to 16, O is the center of the circle. See Theorem 6.3.5.

Given: A E = 6 , E C = 3 , A D = 8

Find: CB.

To determine

To find:

To find CB.

Explanation

Given that AE=6,EC=3,AD=8.

The diagrammatic representation is given below,

Theorems:

1. If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord. Now compare the triangles ΔAED,ΔCEB

2. If two inscribed angles intercept the same arc, then these angles congruent. By using the above theorem mADE=mCBE. Vertical angles are congruent to each other. (The angles that are opposite to each other are vertical angles)

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