To prove: The statement of inequality
Explanation of Solution
Given information:
The given congruency statement is:
The given diagram is:
Proof:
Consider the given statement of congruency as
From the definition of congruency, we can write that,
Now, consider the inequality of
The sum of the lengths of any two sides of a triangle should be greater than the third side.
Consider the third side of the triangle as
Since,
Hence, the statement is proved.
Chapter 5 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Probability and Statistics for Engineers and Scientists
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Essentials of Statistics (6th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Trigonometry (11th 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