[tex]AB = \sqrt{( xB - xA)^{2} + {(yB-yA) }^{2} }[/tex]
[tex]AB = \sqrt{(-2 -4)^{2} + ( - 2 - 6) ^{2} } [/tex]
[tex]AB = \sqrt{ {(-6)}^{2} + {( - 8)}^{2} } [/tex]
[tex]AB = \sqrt{36 + 64} [/tex]
[tex]AB = \sqrt{100} [/tex]
[tex]AB = 10[/tex]
[tex]AC = \sqrt{(xC - xA)^{2} + (yC - yA) ^{2} }[/tex]
[tex]AC = \sqrt{(12 - 4)^{2} + (0 - 6) ^{2} } [/tex]
[tex]AC = \sqrt{ {8}^{2} + ( { - 6)}^{2} }[/tex]
[tex]AC = \sqrt{64 + 36} [/tex]
[tex]AC = \sqrt{100} [/tex]
[tex]AC = 10[/tex]
[tex]BC = \sqrt{(xC - xB)^{2} + (yC - yB) ^{2} }[/tex]
[tex]BC = \sqrt{(12 + 2)^{2} + (0 + 2) ^{2} } [/tex]
[tex]BC = \sqrt{ {14}^{2} + {2}^{2} } [/tex]
[tex]BC = \sqrt{196 + 4} [/tex]
[tex]BC = \sqrt{200} [/tex]
[tex]BC = 10 \sqrt{2} [/tex]
[tex]AB=AC \: = > ABC \: triunghi \: isoscel[/tex]