If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, – 3), E (3, 0, 1) and F (–1, 1, – 4),

Question

Fill in the blanks:

If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, – 3), E (3, 0, 1) and F (–1, 1, – 4), then the centriod of the triangle ABC is ________.

Answer 1

(1,1,-2)

Explanation:

∵ Mid-points of sides of ΔABC are D( 1, 2, -3), E(3, 0, 1) and F(-1, 1, -4).

From basic geometry we know that, centroid of Δ ABC and Δ DEF will be the same.