Answer:
Step-by-step explanation:
The longest line segment that can be drawn from any 2 points on a square,
must naturally be a diagonal of a square. No other possible line segment will be as long as any diagonal of the square.
You can test this out with any ruler, and any true square.
So, given a side of 9 cm, we can use the Pythagorean Theorem to find the length of the diagonal of the square.
Since we are dealing with distances, we can discard the negative solution.
The longest line segment would be 9 square root 2 cm.
Alternatively, we can find an approximation for this answer:
c=12.73 cm