Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 174: 38

Answer

1. By definition, the altitude of a triangle forms a right angle with the side opposite the top of the triangle. 2. Since there is a right angle formed, two right triangles are created. 3. Thus altitude is a leg of these right triangles, while the sides containing the vertex of the altitude are each a hypotenuse. 4. The hypotenuse is always longer than either leg of a right triangle. 5. Thus, the sides containing the vertex of the altitude are longer than the altitude.
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