Question

Obtenha as coordenadas do baricentro do triângulo ABC:
a) A(-2,-5), B(-3,4), C(3,3)
b) A(5,4), B(6,-4), C(-2,-3)
c) A(-7,3), B(-8,-4), C(3,-2)
d) A(0,4), B(8,0), C(-2,-2)​

Answer 1

Explicação passo-a-passo:

a) A(-2,-5), B(-3,4), C(3,3)

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

x=(-5+3)/3

x=-2/3

y=(-5+4+3)/3

y=(-1+3)/3

y=2/3

Baricentro=( -2/3 ; 2/3)

b) A(5,4), B(6,-4), C(-2,-3)

X=(5+6-2)/3

X=(11-2)/3

x=9/3

x=3

y=(4-4-3)/3

y=-3/3

y=-1

Baricentro=( 3 ; -1)

c) A(-7,3), B(-8,-4), C(3,-2)

X=(-7-8+3)/3

x=(-15+3)/3

x=-12/3

x=-4

y=(3-4-2)/3

y=(-1-2)/3

y=-3/3

y=-1

Baricentro=( -4 ; -1)

d) A(0,4), B(8,0), C(-2,-2)

x=(0+8-2)/3

x=(6)/4

x=2

y=(4+0-2)/3

y=2/3

Baricentro=( 2 ; 2/3)

Espero ter ajudado!