IIT JEE , AIEEE Forum - Mathematics , Algebra

rathin_123

if ABCD is a squre and whose center is a origin.if a is z1 then find out the centroid of the traingle ABC.

feynmann

B is iz1 , C is - iz1

so cetroid is at = z1/3

aditya_arora04

(-x/3,y/3) if z1 is assumed to be (x,y)

nadeemoidu

The centroid is at $i\frac{z_1}{3}$ .

multiplying a complex no. with 'i' will rotate it by $\frac{\pi}{2}$ degrees.

so here,

A=z_1

centroid = iz1/3

rathin_123

nadeemoidu you are very close to the ans

nadeemoidu

Maybe if u consider ABCD in the clockwise direction , then the centroid will be at - $i\frac{z_1}{3}$

But the usual practise is to take in the anticlockwise direction.

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