Final answer:
The side and diagonal relationship for √17 can be expressed using the formulas S = d + 4s and D = 4d + 17s. This relationship is derived from the Pythagorean Theorem, which relates the sides of a right triangle.
Step-by-step explanation:
The side and diagonal relationship for √17 can be expressed as follows:
S = d + 4s (new side is old diagonal plus 4 times old side)
D = 4d + 17s (new diagonal is 4 times old diagonal plus 17 times old side)
This relationship can be derived from the Pythagorean Theorem, which relates the sides of a right triangle. According to the theorem, in a right triangle, the square of the length of the hypotenuse (s) is equal to the sum of the squares of the lengths of the other two sides (d and s). By rearranging the equation, we can express the relationship between the side and diagonal lengths of the right triangle.