SOLUTION: A city map is placed on a coordinate grid. The post office is located at the point P(5, 35), the library is located at the point L(15, 10), and the fire station is located at the

Question 904564: A city map is placed on a coordinate grid. The post office is located at the point P(5, 35), the library is located at the point L(15, 10), and the fire station is located at the point F (9, 25). What is the ratio of the length of PF to the length of LF? I dont quite understand.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(15,10)(9,25) 'lf
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(9-15)^2)+(25-10)^2
d=sqrt(+(-6)^2)+(15)^2
d=sqrt(36+225)
d=sqrt(261)
lf=16.1554944
(5,35)(15,10) 'pl
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(15-5)^2)+(10-35)^2
d=sqrt(+(10)^2)+(-25)^2
d=sqrt(100+625)
d=sqrt(725)
pl=26.925824
(5,35)(9,25) 'pf
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(9-5)^2)+(25-35)^2
d=sqrt(+(4)^2)+(-10)^2
d=sqrt(16+100)
d=sqrt(116)
pf=10.770329
pf=10.770329
lf=16.1554944
pf/lf=10.770329/16.1554944=0.66666662952759898205281789457338= about 2/3

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