Find the diagonal of a square whose sides are of the given measure. Given = 6sqrt2

=12 units

Step-by-step explanation:

When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.

Therefore, the Pythagoras theorem is used to find the hypotenuse.

a² + b² = c²

(6√2) ² + (6√2) ²=c²

72+72=c²

c²=144

c=√144

=12

The diagonals of the square measure 12 units each.