The sides 7, 8, 9 does not follow a Pythagoras theorem it is not a side of a right angle triangle option first is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We can apply Pythagoras theorem to identify whether the given sides of the lengths are represents a right angle triangle or not.
The Pythagoras theorem:
[tex]\rm hypotenuse^2= perpendicular^2+ base^2[/tex]
Checking for 7, 8, 9:
9² = 7² + 8² ≠ 113
Not a right angle triangle.
Checking for 3, 4, 5;
5² = 3² + 4² = 25
It is a right angle triangle.
Checking for 10, 24, 26:
26² = 10² + 24² = 676
It is a right angle triangle.
Checking for 6, 8, 10:
10² = 6² + 8² = 100
It is a right angle triangle.
Thus, the sides 7, 8, 9 does not follow a Pythagoras theorem it is not a side of a right angle triangle option first is correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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