Question

2) Determine o Baricentro do Triângulo ABC, de vértices:
A (5,2)
B (8,1)
C (2,0)

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:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{5+8+2}{3}$

$\sf x_G=\dfrac{15}{3}$

$\sf \red{x_G=5}$

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{2+1+0}{3}$

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

$\sf \red{y_G=1}$

Logo, $\sf G(5,1)$