Question

If Hank shoots from inside the three-point line, what can be said about his distance from the center of the basket?

Answer 1

Answer: the distance is less or equal than D = √2*246in^2

Explanation:

The maximum distance between Hank's feet and the center of the basket is equal to the hypotenuse of a triangle rectangle where the cathetus are the distances shown in the figure (246 inches)

then the direct, in a straigth line, to the center of the basket is:

D^2 = (246in)^2 + (246in)^2 = 2*(246in)^2

D = √2*246in^2

So the direct distance between Hank's feet and the center of the basket must be smaller tan D. (because we know that he is inside the 3-point line, we do not know his exact position)