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Chapter 5.2, Problem 21E
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### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

#### Solutions

Chapter
Section
BuyFindarrow_forward

### 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 E = 6 , E C = B C Find: B C

To determine

To calculate:

The value of the side BC.

Explanation

Given:

It is given that Î”ADEâˆ¼âˆ‘ABC.

DE=4,AE=6,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.

Segment-Addition Postulate:

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

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