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: 37

Answer

1. The median of a vertex of an isosceles triangle forms a right angle with the side opposite the vertex. 2. This means that two identical right triangles are formed, with each leg being the hypotenuse. 3. The hypotenuse of a right triangle is longer than the leg. 4. Thus, the legs of the isosceles triangle are longer than the median of the isosceles triangle.
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