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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

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 AD is the geometric mean of BD and DC in Δ A B C shown in the accompanying drawing.

a) Find AD if BD = 6 and DC = 8.
b) Find BD if AD = 6 and DC = 8.

To determine

a)

To Find:

The value of AD.

Explanation

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

Calculation:

It is given that AD is the geometric mean of BD and DC.

Use the concept of geometric mean.

AD2=BDDC

Substitute BD = 6 and DC = 8 in AD2=BDDC

To determine

b)

To Find:

The value of BD.

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