To Prove: The reason why the hypotenuse of the right
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider a triangle that has one side longer than the other side only when the angle that is only that is opposite to the longer side greater measure than the angle opposite to the shorter side.
Since,
As, the angle across from segment YZ is larger than the angle across the angle across from
Then, by the angle side relationship of the triangles. Likewise, one has
Thus, it is proved that the hypotenuse of the right angle triangle is always the longest.
Chapter 5 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Trigonometry (11th Edition)
Thinking Mathematically (6th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
Finite Mathematics & Its Applications (12th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning