Question

Os pontos A(2, 4), B(− 6, 2) e C(0, − 2) são os vértices de um triângulo ABC. Determine as coordenadas do baricentro.

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:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{2-6+0}{3}$

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

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

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

$\sf \red{y_G=\dfrac{4}{3}}$

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

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\sf G\left(\dfrac{x_A + x_B + x_C}{3};\dfrac{y_A + y_B + y_C}{3}\right)$

$\sf G\left(\dfrac{2 + (-6) + 0}{3};\dfrac{4 + 2 + (-2)}{3}\right)$

$\sf G\left(\dfrac{2 -6 + 0}{3};\dfrac{4 + 2 -2}{3}\right)$

$\boxed{\boxed{\sf G\left(\dfrac{-4}{3};\dfrac{4}{3}\right)}}$