Determine which set of side measurements could be used to form a right triangle.

To determine which set of side measurements could form a right triangle, we can apply the Pythagorean theorem. According to the theorem, 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.

Let's test each set of side measurements:

a) 6, 4, 8:
Using the Pythagorean theorem:
6^2 + 4^2 = 36 + 16 = 52
8^2 = 64
Since 52 ≠ 64, this set of side measurements (6, 4, 8) cannot form a right triangle.

b) 4, 13, 15:
Using the Pythagorean theorem:
4^2 + 13^2 = 16 + 169 = 185
15^2 = 225
Since 185 ≠ 225, this set of side measurements (4, 13, 15) cannot form a right triangle.

c) 16, 8, 18:
Using the Pythagorean theorem:
16^2 + 8^2 = 256 + 64 = 320
18^2 = 324
Since 320 ≠ 324, this set of side measurements (16, 8, 18) cannot form a right triangle.

d) 6, 8, 10:
Using the Pythagorean theorem:
6^2 + 8^2 = 36 + 64 = 100
10^2 = 100
Since 100 = 100, this set of side measurements (6, 8, 10) can form a right triangle.

Therefore, the correct answer is option d) 6, 8, 10.