8

Part of 1977 Spain Mathematical Olympiad

Problems(1)

z_1, z_2, z_3 vetrices of equilateral

Source: Spanish Mathematical Olympiad 1977 P8

Determine a necessary and sufficient condition for the affixes of three complex numbers

z_1

z_2

z_3

are the vertices of an equilateral triangle.

geometrycomplex numbersEquilateral