Which numbers represent the measures of the sides of a right triangle?Group of answer choices5, 7, 123, 3, 63, 4, 76, 8, 10

The numbers that represent the measures of the sides of a right triangle should satisfy the Pythagorean theorem, which 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

Let's check each group of numbers:

1. 5, 7, 12: 5² + 7² = 25 + 49 = 74, which is not equal to 12² (144). So, this group does not represent the sides of a right triangle.

2. 3, 3, 6: 3² + 3² = 9 + 9 = 18, which is not equal to 6² (36). So, this group does not represent the sides of a right triangle.

3. 3, 4, 7: 3² + 4² = 9 + 16 = 25, which is not equal to 7² (49). So, this group does not represent the sides of a right triangle.

4. 6, 8, 10: 6² + 8² = 36 + 64 = 100, which is equal to 10² (100). So, this group does represent the sides of a right triangle.

Therefore, the numbers 6, 8, 10 represent the measures of the sides of a right triangle.