   Chapter 6.3, Problem 17E 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

For Exercises 17 to 20. See Theorem 6.3.6.Given: A B = 6 , B C = 8 , A E = 15 Find: DE. To determine

To find:

The value DE.

Explanation

Given that, AB=6,BC=8,AE=15.

The diagrammatic representation is given below,

Theorem:

If secant segments are drawn to a circle from an external point, then the products of the length of each secant with the length of its external segment are equal.

By using the theorem to get the following,

Also know that

AB+BC=AC6+8=ACAC=14

Substitute the values AB=6,AC=14,AE=15 in the above equation to get the following,

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