The complex numbers corresponding to points a, B and C in the complex plane are I, I, 4 + 2I respectively. If a - > b - > C - > D is parallelogram ABCD in anticlockwise order, then | BD | is equal to? | Math enthusiast | Mathematical art

The complex numbers corresponding to points a, B and C in the complex plane are I, I, 4 + 2I respectively. If a - > b - > C - > D is parallelogram ABCD in anticlockwise order, then | BD | is equal to?

According to the meaning of the title
A(0,1)
B(1,0)
C(4,2)
Then AC midpoint e (2,3 / 2)
So be ^ 2 = (1-2) ^ 2 + (0-3 / 2) ^ 2 = 13 / 4
BE=√13/2
Parallelogram diagonals bisect each other
So BD = 2be = √ 13

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