If you want to dilate an isosceles right triangle with a hypotenuse of 18 yards, to create a dilated image with a hypotenuse of 12 yards, what scale factor should you use?

To find the scale factor, we need to compare the lengths of the original hypotenuse (18 yards) and the dilated hypotenuse (12 yards).

Scale factor = dilated hypotenuse / original hypotenuse
Scale factor = 12 / 18
Scale factor = 2 / 3

Therefore, the scale factor to dilate the isosceles right triangle with a hypotenuse of 18 yards to create a dilated image with a hypotenuse of 12 yards is 2/3.