The tiles in a store are being compared. The diagonal of one tile is 9 square root 2 centimeters, and the other tile is 8 square root 2 centimeters. What is the difference in the length of the diagonals?

Answer 1

To find the difference in length of the diagonals, we subtract the length of one diagonal from the length of the other diagonal:

Length of one diagonal - Length of the other diagonal = (9√2) cm - (8√2) cm

Simplifying, we get:

9√2 - 8√2 = √2 cm

Therefore, the difference in the length of the diagonals is √2 centimeters.