Question

5. Qual a coordenada do baricentro do triângulo ABC de vértice A ( 2,1 ); B ( 3,4 ) e C ( 4,-2) ?

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:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{2+3+4}{3}$

$\sf x_G=\dfrac{9}{3}$

$\sf \red{x_G=3}$

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{1+4-2}{3}$

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

$\sf \red{y_G=1}$

Logo, $\sf G(3,1)$