The tiles in a store are compared the diagonal of one tile is 9sqrt2 centimeters and the other tile is 8sqrt2 centimeters what is the difference in the length of the diagonals

Answer 1

To find the difference in the lengths of the diagonals of the two tiles, we simply subtract the length of the shorter diagonal from the length of the longer diagonal.

The lengths of the diagonals are:

• Tile 1: \( 9\sqrt{2} \) cm
• Tile 2: \( 8\sqrt{2} \) cm

Now, calculate the difference:

\[ 9\sqrt{2} - 8\sqrt{2} = (9 - 8)\sqrt{2} = 1\sqrt{2} = \sqrt{2} \text{ cm} \]

Thus, the difference in the length of the diagonals is \( \sqrt{2} \) centimeters.