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Aflati lungimea segmentului ab daca :
a)A(0;0) ,B(3;-4) c)A(-3;4),B(-2;2)
b)A(3;-4) ,B(-3;4) d)A(-2;2),B(10;-3)

Va rog cit se poate mai repede !!!


Răspuns :

[tex]a)AB= \sqrt{( x_{2}- x_{1})^2 +( y_{2}- y_{1})^2 }= \sqrt{(3-0)^2+(-4-0)^2}= \sqrt{25}= 5 \\ b)AB= \sqrt{(-3-3)^2+(4+4)^2}= \sqrt{100}= 10 [/tex]
[tex]c) AB=\sqrt{(-2+3)^2+(2-4)^2}= \sqrt{5} \\ d)AB= \sqrt{(10+2)^2+(-3-2)^2}= \sqrt{169}=13 [/tex]