Concept explainers
The solution of the statement of indirect proof.
Explanation of Solution
Given information:
In an isosceles triangle neither of the base
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: Neither of the base angles is a right angle.
Following steps are used for the indirect proof are as shown below:
Firstly, assume that
Secondly, by the Isosceles
This contradicts the fact that a triangle can have no more than one right angle. Therefore, the assumption that
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