Why doesn't z3 appear anywhere in the equation you're trying to prove?nighthelios said:it's ic a problem on comlex numbers
IF z1 ,z2 ,z3 are vertices of equilateral triangle in argand plane
then
P.T.
z1*z1 + z2*z2 =z1*z2
i hav 1 soln but it's not tat satisfactory
AKG said:
The "Equilateral Triangle Complex Numbers Problem" is a mathematical problem that involves finding the coordinates of the vertices of an equilateral triangle on the complex plane. It is also known as the "Euler's Triangle Problem" or the "Morley's Miracle Problem".
To solve the "Equilateral Triangle Complex Numbers Problem", you can use the formula: z1 = a + bi, z2 = c + di, z3 = e + fi, where a, b, c, d, e, and f are real numbers. By setting z1, z2, and z3 equal to each other, you can find the coordinates of the vertices of the equilateral triangle.
The "Equilateral Triangle Complex Numbers Problem" has significant applications in mathematics, physics, and engineering. It is used to solve problems related to symmetry, geometry, and complex numbers. It also has connections to other mathematical concepts such as the Golden Ratio and the Pythagorean Theorem.
Yes, there are other methods for solving the "Equilateral Triangle Complex Numbers Problem", such as using trigonometry or vector algebra. However, the complex numbers method is the most efficient and elegant way to solve this problem.
Yes, the "Equilateral Triangle Complex Numbers Problem" has real-life applications in fields such as engineering, architecture, and computer graphics. It is used to design and construct structures with symmetrical patterns, such as bridges, buildings, and video game environments.