Respuesta :

gmany

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have

A(0, 0), C(a, b)

[tex]AC=\sqrt{(a-0)^2+(b-0)^2=\sqrt{a^2+b^2}[/tex]

B(a, 0), D(0, b)

[tex]BD=\sqrt{(0-a)^2+(b-0)^2}=\sqrt{(-a)^2+b^2}=\sqrt{a^2+b^2}[/tex]

Therefore AC = BD.

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