Concept explainers
The solution of the statement of indirect proof.
Explanation of Solution
Given information:
Given:
Prove:
Calculation:
In an indirect proof or proof by contradiction, assume that the conclusion is false. By showing the assumption to be logically impossible, prove the assumption is false and the original conclusion is true. For this problem, assume that
Given:
Prove:
Following steps are used for the indirect proof are as shown below:
Firstly, assume
Secondly, if the square of a number is even, then the number is also even. So, if
Let
Since the assumption that
Chapter 5 Solutions
Geometry, Student Edition
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