two line segments ab and cd, have end points at A ( -5,11) , B( 3,5) , C (9,3) and D (2,10) which of the two lines segments is longer ?

Respuesta :

[tex]AB= \sqrt{(-5-3)^2+(11-5)^2} = \sqrt{64+36}= \sqrt{100}=10 \\ CD= \sqrt{(9-2)^2+(3-10)^2} = \sqrt{49+49}= \sqrt{98}\approx 9.9 \\ \\ [/tex]

segment AB is longer than segment CD