Chapter 5.1, Problem 22E

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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

**Calculation:**

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

Use the concept of geometric mean.

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

To determine

**b)**

**To Find:**

The value of *DC*.

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