Question

Num triângulo ABC de vértices A(3; 3), B(–5; –1) e C (–2; –7), determine as coordenadas do baricentro desse triângulo. 2 pontos a) (-4/3,-5/3) b) (-2,-5/2) c) (-2,-3) d) (-1/2,3/2)

Answer 1

Resposta:

letra A

Explicação passo-a-passo:

A(3; 3)

B(–5; –1)

C (–2; –7)

xg = ( 3 - 5 - 2 ) / 3 = -4/3

yg = ( 3 - 1 - 7 ) / 3 = -5/3

G(-4/3;-5,3)

Answer 2

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:

• $\sf x_G=\dfrac{x_A+x_B+x_C}{3}$

$\sf x_G=\dfrac{3-5-2}{3}$

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

• $\sf y_G=\dfrac{y_A+y_B+y_C}{3}$

$\sf y_G=\dfrac{3-1-7}{3}$

$\sf \red{y_G=\dfrac{-5}{3}}$

Logo, $\sf G\Big(\dfrac{-4}{3},\dfrac{-5}{3}\Big)$

Alternativa A