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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

For Exercises 17 to 2, See Theorem 6.3.6.

Given: A B = 4 , B C = 5 , A D = 3

Find: DE.

To determine

To find:

To find DE.

Explanation

Given that, AB=4,BC=5,AD=3

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,

ACAB=AEAD

We know that

AE=AD+DEAE=3+DE

AC=AB+BCAC=4+5AC=9

Substitute the values AB=4

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