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Fie xOy un sistem de axe ortogonale in care sunt reprezentate punctele A(-4;0),B(3;0) si C(0;4).Aflati lungimile laturilor AB,AC si BC.

Răspuns :

[tex]AB= \sqrt{(XA-XB) ^{2}+ {(YA-YB) ^{2} } } [/tex]
[tex]AB= \sqrt{(-4-3) ^{2}+(0-0) ^{2} } = \sqrt{49} =7[/tex]

[tex]AC= \sqrt{(XA-XC) ^{2} +(YA-YC) ^{2} } [/tex]
[tex]AC= \sqrt{(-4-0) ^{2}+(0-4) ^{2} } = \sqrt{16+16} = \sqrt{32} =4 \sqrt{2} [/tex]

[tex]BC= \sqrt{(XB-XC) ^{2} +(YB-YC) ^{2} } [/tex]
[tex]BC= \sqrt{(3-0) ^{2} +(0-4) ^{2} } = \sqrt{9+16} = \sqrt{25} =5[/tex]