\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(A\), \(B\), and \(C\) be three points in the complex plane with respective affixes \(z_A = 1+i\), \(z_B = 3+2i\), and \(z_C = 2+4i\).
Prove that the triangle \(ABC\) is a right-angled isosceles triangle at \(B\).
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