Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 242: 44

Answer

The proof is in the following form: Column 1 of proof; Column 2 of proof. Thus, we have: 1. ADC is a right angle, and CDB is a right angle; Given 2. The altitude of triangle ABC is CD; definition of an altitude 3. CDA is similar to triangle ACB; the altitude of the hypotenuse of a right triangle forms a right triangle similar to the original right triangle. 4. $\frac{AB}{AC} = \frac{AC}{AD}$; CSSTP
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