Chapter 5.4, Problem 3E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Use theorem 5.4.3 to form a proportion in which *RS *is a geometric mean.

[*Hint *

*Exercises 1-6*

To determine

**To Find:**

Proportion in which *RS *is the geometric mean.

Explanation

**Given:**

From the figure,

From the theorem,

The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Since

Corresponding sides of similar triangles are proportional (CSSTP)

So, we have

Recall the Means-Extremes Property

In a proportion, the product of the means equals the product of the extremes

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