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In this work, we present the historical part of the complex numbers, showing its emergence and its evolution over time. We classify the triangles in the Argand-Gauss plane, considering its vertices and we discut some results involving the calculus of area to convex polygons, in particular, a formula to determine the area of polygons whose vertices correspond to the roots of a complex number. [ABSTRACT FROM AUTHOR]

In this work, we present the historical part of the complex numbers, showing its emergence and its evolution over time. We classify the triangles in the Argand-Gauss plane, considering its vertices and we discut some results involving the calculus of area to convex polygons, in particular, a formula to determine the area of polygons whose vertices correspond to the roots of a complex number. [ABSTRACT FROM AUTHOR]

In this work, we present the historical part of the complex numbers, showing its emergence and its evolution over time. We classify the triangles in the Argand-Gauss plane, considering its vertices and we discut some results involving the calculus of area to convex polygons, in particular, a formula to determine the area of polygons whose vertices correspond to the roots of a complex number. [ABSTRACT FROM AUTHOR]