Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 252: 3


Since they are similar triangles, corresponding sides are proportional. Thus: $\frac{RS}{RV} = \frac{RT}{RS} \\ RV\cdot RT = RS \cdot RS$ Thus, we see that RS is the geometric mean.
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