Which of the following does not represent sides of a right triangle?Group of answer choices3, 4, 55, 12, 133.9, 8, 8.93, 5, 8

To determine which of the given sets of numbers do not represent the sides of a right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

1. For the set {3, 4, 5}, 3² + 4² = 9 + 16 = 25, which is equal to 5². So, this set can represent the sides of a right triangle.

2. For the set {5, 12, 13}, 5² + 12² = 25 + 144 = 169, which is equal to 13². So, this set can also represent the sides of a right triangle.

3. For the set {3.9, 8, 8.9}, 3.9² + 8² = 15.21 + 64 = 79.21, which is not equal to 8.9² (79.21). So, this set cannot represent the sides of a right triangle.

4. For the set {3, 5, 8}, 3² + 5² = 9 + 25 = 34, which is not equal to 8² (64). So, this set cannot represent the sides of a right triangle.

Therefore, the sets {3.9, 8, 8.9} and {3, 5, 8} do not represent the sides of a right triangle.