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To determine whether the given lengths can be side lengths of a right angle
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Answer to Problem 18CR
Given sides are not of a right angle triangle.
Explanation of Solution
Given information:
6, 24, 25
Here we shall use the Pythagoras theorem.
According to Pythagoras theorem in any right angle triangle,
If the given sides satisfy the condition of Pythagoras theorem then they can be sides of right angle triangle.
Hence we check by putting values given,
Hence the given sides did not satisfy the condition. The sum of square of the two short sides is not equal to the square of the largest side. Therefore given sides are not of a right angle triangle.
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High School Math 2011 Algebra 1 Student Companion Grade 8/9
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