Chapter 5.2, Problem 23E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 21 to 24, △ A D E ∼ △ A B C . Given: D E = 4 , A C = 20 , E C = B C Find: B C

To determine

To calculate:

The value of the side BC.

Explanation

Given:

DE=4,AC=20,â€‰â€‰â€‰andâ€‰â€‰EC=BC

Definition Used:

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

If C is a point of XYÂ¯ and Xâˆ’Câˆ’Y, then XC+CY=XY.

Calculation:

According to the definition of similar polygon, ACAE=â€‰â€‰BCDE=ABAD.

According to the segment-addition postulate, AC=AE+EC.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started