Respuesta :

Answer:

  • 44 yards

Step-by-step explanation:

Possible roots from point F to Ball 3 are:

  • F ⇒ Ball2 ⇒ F ⇒ Ball1 ⇒ Ball3
  • F ⇒ Ball2 ⇒ Ball1 ⇒ Ball3
  • F ⇒ Ball1 ⇒ Ball2 ⇒ Ball3

Its not difficult to see the shortest root the the last one.

Let's find each part of the total distance:

  • F ⇒ Ball1  = 9 yds
  • Ball1 ⇒ Ball2 = [tex]\sqrt{9^2+12^2}=\sqrt{81+144} =\sqrt{225} =15[/tex] yds
  • Ball2 ⇒ Ball3 = [tex]\sqrt{12^2+16^2}=\sqrt{144+256} =\sqrt{400} =20[/tex] yds

Total distance is:

  • 9 + 15 + 20 = 44 yds