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Se dau A (2,3) B (1,5) . Scrie OA si OB

Răspuns :

[tex]A(2,3) \\
B(1,5) \\
O(0,0)
[/tex]

[tex]OA=\sqrt{{(x_{A}-x_{O})}^{2}+{(y_{A}-y_{O})}^{2}}[/tex]

[tex]OA=\sqrt{{(2-0)}^{2}+{(3-0)}^{2}}[/tex]

[tex]OA= \sqrt{ {2}^{2} + {3}^{2} } [/tex]

[tex]OA= \sqrt{4 + 9} [/tex]

[tex]OA= \sqrt{13} [/tex]

[tex]OB=\sqrt{{(x_{B}-x_{O})}^{2}+{(y_{B}-y_{O})}^{2}}[/tex]

[tex]OB=\sqrt{{(1-0)}^{2}+{(5-0)}^{2}}[/tex]

[tex]OB= \sqrt{ {1}^{2} + {5}^{2} } [/tex]

[tex]OB = \sqrt{1 + 25} [/tex]

[tex]OB = \sqrt{26} [/tex]