Question

No triângulo ABC:
A(0,-3), C(-2,2) e as coordenadas do baricentro é (-2,0).
Determine o ponto B.

Answer 1

As coordenadas do baricentro são obtidas por:

$\frac{xA+xB+xC}{3}$ e $\frac{yA+yB+yC}{3}$

Logo:

$\frac{xA+xB+xC}{3}$=-2 e

$\frac{yA+yB+yC}{3}$=0

$\frac{0+xB-2}{3}$=-2

$\frac{-3+yB+2}{3}$=0

xB-2=-6
xB=-4

yB-1=0
yB=1

Ponto B = (-4,1)