[tex]Z_a = 1+i[/tex]
[tex]Z_b= 1+5i[/tex]
[tex]Z_c= 6+i[/tex]
AB = | [tex]Z_a[/tex] - [tex] Z_b [/tex] | = | 1+i-1-5i | = | -4i | = 4
AC = | 1+i-6-i | = | -5 | = 5
BC = | 1+5i-6-i | = | -5 + 4i | = [tex] \sqrt{41 } [/tex]
[tex] BC^{2} = AB^{2} + AC^{2} [/tex] => 41 = 25 + 16 => 41 = 41
R.T.P => ΔABC dreptunghic in A
