   Chapter 5.1, Problem 22E 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

In Exercises 17 to 22, use proportions to solve each problem.Assume that AB is the geometric mean of BD and BC. a) Find AB if BD = 6 and DC =10. b) Find DC if AB =106 and BC = 15. To determine

a)

To Find:

The value of AB.

Explanation

If b is the geometric mean of a and c, then b2=ac.

Calculation:

It is given that AB is the geometric mean of BD and BC.

Use the concept of geometric mean.

AB2=BDBC

Now, BC = BD + DC

Substitute BD = 6 and DC = 10 in BC = BD + DC.

BC = 6 + 10

= 16

Substitute BD = 6 and BC = 16 in AB2=BDBC

To determine

b)

To Find:

The value of DC.

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