To prove: The statement of inequality
Explanation of Solution
Given information:
The given diagram is:
Proof:
Consider the given diagram of the
Draw an
From the definition of congruency, we can write that,
From the definition of isosceles triangle theorem, we can write that,
From the above diagram, we can write:
Substitute
Now, consider the inequality of triangle theorem:
Consider the angle side relationship of triangles
From the above diagram write:
Substitute AC for CD as
Substitute AB for BD as
Hence, the statement is proved.
Chapter 5 Solutions
Geometry, Student Edition
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- 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