Question

Ache as coordenadas do baricentro dos triângulos ABC nos casos abaixo:

a) A(-3, 2), B(3, -1) e C(0, 5)

b) A (1/2, 1), B (5, 3/2) e C (3, 7/2)

Answer 1

G [ (xa+xb+xc)/3 , (ya+yb+yc)/3 ] = (xg,yg)

(A)

xg = (-3+3+0)/3 = 0

yg = (2-1+5)/3 = 6/3 = 2

G (0,2)

(B)

xg = (1/2+5+3)/3 = (1/2+8)/3 = (1/2+16/2)/3 = (17/2)/3 = 17/6

yg = (1+3/2+7/2)/3 = (1+10/2)/3 = (2/2+10/2)/3 = 6/3 = 2

G (17/6, 2)