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Reperul cartezian xoy se consideră punctele A(1,1) B(4,1) C(4,4). Aratati ca AB=BC

Răspuns :

AB= [tex] \sqrt{ (x(A)-x(B))^{2}+(y(A)-y(B))^{2} }= \sqrt{ (1-4)^{2}+ (1-1)^{2} } = \sqrt{9+0} =[/tex]=√9=3 cm

BC=[tex] \sqrt{ (x(B)-x(C))^{2}+(y(B)-y(C))^{2} }= \sqrt{ (4-4)^{2}+ (1-4)^{2} } = \sqrt{0+9}[/tex]=√9=3 cm

⇒ AB=BC = 3 cm