   Chapter 5.2, Problem 14E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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:

ΔHJK~ΔFGK.

HK=6,KF=8 and 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, FG¯HJ¯ and KF¯KH¯

So,

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