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## Homework Statement

let ABC be a triangle where I divides angle BAC(angle A) => BAI=IAC

Prove that I is the centroid of (B,AC)and (C,AB)

## Homework Equations

i think phitagors wil come in handy but dunno how to use it

## The Attempt at a Solution

let ac = a and AB = b

aIB+bIC=0 (vectors)

aIC+aCB+bIC=(a+b)IC+aCB=..