Question

determine o ponto G dos seguintes pontos A(12,3), B(3,6) e C(9,3), qual o ponto G

a) G(6,0)
b) G(8,5)
c) G(8,2)
d) G(8,4)
e) G(6,6)​

Answer 1

$A(x_A,y_A)=A(12,3)$

$B(x_B,y_B)=B(3,6)$

$C(x_C,y_C)=C(9,3)$

$\boxed{G(x_G,y_G)=G\bigg(\dfrac{x_A+x_B+x_C}{3},\dfrac{y_A+y_B+y_C}{3}\bigg)}$

$x_G=\dfrac{12+3+9}{3}=\dfrac{24}{3}\ \to\ x_G=8$

$y_G=\dfrac{3+6+3}{3}=\dfrac{12}{3}\ \to\ y_G=4$

$\boxed{\mathrm{Baricentro}\ \to\ G(8,4)}$