
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
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