proving vertices of equilateral triangle (1 Viewer)

samuelclarke · May 14, 2012

I forgot how to prove how 3 points form an equilateral triangle's vertices given 3 complex points. Do we show that all sides are equal length and rotate 60 degrees?

Carrotsticks · May 14, 2012

Let the 3 points be z_1, z_2 and z_3.

If they form an equilateral triangle, then either one of the following is true:

$\\ z_1 ^2 + z_2 ^2 + z_3 ^2 = 0 \\\\ z_1 z_2 + z_1 z_3 + z_2 z_3 = 0$

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proving vertices of equilateral triangle (1 Viewer)

samuelclarke

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Carrotsticks

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