Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 223: 17

Answer

$n=3$

Work Step by Step

Since the quadrilaterals are similar, the corresponding sides will be proportional. So, set up a proportion... $\frac{AB}{HJ}=\frac{BC}{JK}$ Substitute in the appropriate values... $\frac{5}{10}=\frac{n}{n+3}$ Cross multiply... $5(n+3)=10(n)$ Distribute the five... $5n+15=10n$ Subtract $5n$ from both sides... $15=5n$ Divide by five... $n=3$
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