Elementary Geometry for College Students (7th Edition)

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


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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.