Question

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

A) (1 , -1) B) (-1 , 1) C) (2 , -2) D) (-2 , 2)

Answer 1

Answer:

$let \: g \: (x \: y)be \: the \: centroid \: of \: tringle \: abc \: \\ \\ x = \: \frac{1}{3} (x1 + x2 + x3) \\ x = \frac{1}{3} (1 + 4 - 2) \\ x = 1 \\ \\ y = \frac{1}{3} (y1 + y2 + y3) \\ \\ \frac{1}{3} ( - 5 + 0 + 2) \\ \\ \frac{1}{3} ( - 3) \\ x = - 1 \\ \\ hence \: the \: centroid \: of \: tringle \: abc \: is \: (1 \: - 1)$