Chapter 5.2, Problem 14E

### 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

# If the drawing, △ H J K ∼ △ F G K . If H K = 6 , K F = 8 , and F G = 5 , find H J .

To determine

To calculate: The value of HJ.

Explanation

Given:

Î”HJK~Î”â€‰FGK.

HK=6,KF=8Â andÂ FG=5.

Approach:

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.

Calculation:

According to the definition of similar polygon, FGÂ¯â†”HJÂ¯Â andÂ KFÂ¯â†”KHÂ¯

So,

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