The missing lengths of the similar triangles are:
x = 7.2 ft
y = 10.8 ft
How to find the length of similar triangles?
Two triangles are said to be similar if the ratio of their corresponding sides are congruent.
Thus, applying the concept above to the given triangles, we have:
x/3 = 7.2/3
x = (7.2 * 3)/3
x = 7.2 ft
Similarly:
y/4.5 = 7.2/3
y = (7.2 * 4.5)/3
y = 10.8 ft