Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises: 4

Answer

The proportion is below.

Work Step by Step

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