The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
What is a right-angle triangle?
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
For the triangle sides:
6 cm, 8 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=8^2+6^2[/tex]
100 = 100
These sides satisfy the Pythagoras formula.
For the triangle sides:
12 cm, 35 cm, and 37 cm
From the Pythagoras theorem:
[tex]37^2=35^2+12^2[/tex]
1369 = 1369
These sides satisfy the Pythagoras formula.
For the triangle sides:
4 cm, 6 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=6^2+4^2[/tex]
100 ≠ 52
These sides do not satisfy the Pythagoras formula.
For the triangle sides:
10 cm, 24 cm, and 26 cm
From the Pythagoras theorem:
[tex]26^2=24^2+10^2[/tex]
676 = 676
These sides satisfy the Pythagoras formula.
Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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