Question

Se num triângulo ABC os vértices são A(2,2) B(-3,4) C(-3,-4) Calcular as coordenadas do baricentro ponto G

Answer 1

$x_G=\frac{x_A+x_B+x_C}{3}=\frac{2-3-3}{3}=\frac{-4}{3}\\ \\ y_G=\frac{y_A+y_B+y_C}{3}=\frac{2+4-4}{3}=\frac{2}{3}\\ \\ G\left(-\frac{4}{3};\frac{2}{3}\right)$

Answer 2

Explicação passo-a-passo:

As coordenadas do baricentro são dadas por:

$\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

Assim:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{2-3-3}{3}$

$\sf \red{x_G=\dfrac{-4}{3}}$

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{2+4-4}{3}$

$\sf \red{y_G=\dfrac{2}{3}}$

Logo, $\sf G\Big(\dfrac{-4}{3},\dfrac{2}{3}\Big)$