Final answer:
The length of the diagonal line on the centimeter grid is 11.18 cm
Step-by-step explanation:
The length of the diagonal line on the centimeter grid depends on the dimensions of the grid. Without specific dimensions provided, we cannot determine the exact length of the diagonal line. However, we can calculate the length of the diagonal line in a general sense using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal line) is equal to the sum of the squares of the lengths of the other two sides. Applying this theorem to the centimeter grid, we can find the length of the diagonal line by measuring the lengths of the sides of the grid and using the formula a² + b² = c².
For example, if the length (a) and width (b) of the centimeter grid are 10 cm and 5 cm respectively, we can calculate the diagonal line (c) as follows:
c² = 10² + 5²
c²= 100 + 25
c²= 125
c = √125
c ≈ 11.18 cm