Question

04.- Quais as coordenadas do baricentro do triângulo de vértices (2, 0), (-1, -4) e (2, 1):


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Answer 1

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:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{2-1+2}{3}$

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

$\sf \red{x_G=1}$

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{0-4+1}{3}$

$\sf y_G=\dfrac{-3}{3}$

$\sf \red{y_G=-1}$

Logo, $\sf G(1,-1)$