On an Argand diagram, the points P and Q represent z1 and z2 respectively. OPQ is an equilateral triangle. Show that z1² + z2² = z1z2
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Originally Posted by acevipa On an Argand diagram, the points P and Q represent z1 and z2 respectively. OPQ is an equilateral triangle. Show that z1² + z2² = z1z2 Since the sides of an equlateral triangle all have the same length sides we know: |z1|=|z2|=|z1-z2| The internal angles of the triangle are all 60 degress so we also know: arg(z1) = arg(z2) + 60 And And arg(z1^2)=arg(z2^2) + 120 So if z1= then z2= and
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