Let the complex numbers z₁,z₂ and z3 be the vertices of an equilateral triangle. If zo is the circumcentre of the triangle, then prove that z1+z²+ z ² = 320 ². Z3
Let the complex numbers z₁,z₂ and z3 be the vertices of an equilateral triangle. If zo is the circumcentre of the triangle, then prove that z1+z²+ z ² = 320 ². Z3
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.3: The Complex Plane
Problem 4ECP
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![Let the complex numbers z₁,z₂ and z3 be the vertices of an
equilateral triangle. If zo is the circumcentre of the triangle,
then prove that z7 +22² + z ² = 3202².
Z3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a9caf38-ca48-489c-b873-f40ae6622551%2Fd46923fc-834f-44f1-aa37-b719b4827697%2F8cvivm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let the complex numbers z₁,z₂ and z3 be the vertices of an
equilateral triangle. If zo is the circumcentre of the triangle,
then prove that z7 +22² + z ² = 3202².
Z3
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