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.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 4
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