Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.
The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.
To find the right angle triangle it should satisfy the Pythagoras theorem
a. 12, 16, 20
[tex]12^{2} +16^{2} = 144 + 256[/tex]
= 400
[tex]20^{2}[/tex] = 400
Since it follows the Pythagoras triplet, it is a right-angle triangle.
b. 15, 36, 39
[tex]15^{2} +36^{2} \\= 1521[/tex]
[tex]39^{2} =1521[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
c. 20, 24, 26
[tex]20^{2} + 24^{2} \\= 976[/tex]
[tex]26^{2} = 676[/tex]
Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.
d. 30, 40, 50
[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.
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