Question

need some help with geo, could you explain how to do it as well so i know next time not needed but helpful

Answer 1

You can do this by finding the lengths of RT , RS and ST using the distance formula

RT = sqrt ((0- -5)^2  + (4 - -6)^2)
      = sqrt (5^2 + 10^2)  = sqrt 125

RS =  sqrt ((-3- -5)^2 +  (-2 - -6)^2))
       = sqrt  ( 2^2 + 4^2)  = sqrt 20

ST  = sqrt 125 - sqrt 20

RS / ST  = sqrt 20 / (sqrt 125-sqrt 20)

so the ratio RS:ST = 2:3

Its B