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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 8.156 (page 993)

螖ABC is similar to 螖XYZ . The lengths of two sides of each triangle are given in the figure.
Find the length of side y .

Short Answer

Expert verified

The length of y is $22.5$ .

Step by step solution

01

Step 1. Given Information

螖ABC is similar to 螖XYZ .

02

Step 2. Calculation

$B y s i m i l a r i t y p r o p e r t y w e h a v e \frac{A B}{X Y} = \frac{B C}{Y Z} = \frac{C A}{Z X} t h e r e f o r e \frac{15}{y} = \frac{8}{12} y = \frac{15 脳 12}{8} y = 22.5$

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