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

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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