Question

Determine as coordenadas do Baricentro do triangulo de vértices: A ( 3 ,2 ), B ( -1,5) C ( 0, 0) * 5 pontos a) ( 1, 2) b) ( 1, 4) c) ( 2, 5) d) (2/3, 7/3)

Answer 1

Explicação passo-a-passo:

As coordenadas do baricentro são dadas por:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

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

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

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{2+5+0}{3}$

$\sf y_G=\dfrac{7}{3}$

Logo, $\sf G\left(\dfrac{2}{3},\dfrac{7}{3}\right)$

Letra D

Answer 2

Resposta:

(2/3, 7/3)

Explicação passo-a-passo:

Para calcular o baricentro usamos a fórmula:

x = (xa + xb + xc)/3

y = (ya + yb + yc)/3

x = (3 - 1 + 0)/3 = 2/3

y = (2 + 5 + 0)/3 = 7/3